what is the equation of a line that contains points (5,3) and (0, -1)

Answers

Answer 1

Answer:

y = [tex]\frac{4}{5}[/tex] x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, 3 ) and (x₂, y₂ ) = (0, - 1 )

m = [tex]\frac{-1-3}{0-5}[/tex] = [tex]\frac{-4}{-5}[/tex] = [tex]\frac{4}{5}[/tex]

The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1

y = [tex]\frac{4}{5}[/tex] x - 1 ← equation of line


Related Questions

13^5/13^x=13^4
Does anyone know how to solve this?

Answers

[tex]\frac{13^5}{13^x} =13^4 =>13^{5-x} =13^4\\ =>5-x=4=> x=5-4=1[/tex]

ANSWER: x = 1

ok done. Thank to me :>

Hi can someone pls help me with this!!!

Answers

the domain is the x value (first number) and the range is the y value (second number)

(if a number appears more than once in the domain or range, like in number 1 you don't have to write it again.)

to graph the domain and range you just plot the points,

and to map them you have to put the x values in the first oval and the y values in the second, usually in order from smallest to largest.

then you have to draw arrows connecting each x value to the y value that was in the same pair. just like when writing down the domain/range, if a number comes up again you don't have to write it down again. instead, you might have two or more arrows connecting to the same  number.

Questions 1 3 5 7 range and graph not needed

Answers

Answer:

thx for the 25 points, I know you meant to give it to me(≧▽≦)

i need the answr for 3+x=10 please explain as well​

Answers

Answer:

7

Step-by-step explanation:

basically just subtract 10-3=7 then to check 3+7=10

Answer:

x = 7

Step-by-step explanation:

3 + x = 10

-3         -3

x = 7

you subtract by 3 on both sides (because the opposite property of addition is subtraction) to cancel it out and isolate the x.

which mapping diagram does NOT represent a function from x > y ?

Answers

Answer:

A

Step-by-step explanation:

In a function, each x value must have a singular y value. This means that one x-value (the values on the left) may not have a line pointing to 2 different y-values (the values on the right). In the first relation, the x-value of 6 points to both 4 and 6. This means that the value repeats, and in a function x-values cannot repeat.

However, y-values can repeat. So, situations like that seen in D, where both the x-values of 2 and 4 equal the y-value of 6 are fine.

Answer:

It's A

Step-by-step explanation:

Find the value of x.

Answers

Answer:

X=24

Step-by-step explanation:

(X+16)°+6x=180°(being co-interior angle)

7x=180-16

X=164÷7

X=23.428

X=23

or,

(3x-1)+5x=180(being co-interior angle)

8x=181

X=181÷8

X=22.625=23

What is the approximate value of q in the equation below? q log Subscript 2 Baseline 6 = 2 q 2 â€""1. 613 â€""1. 522 0. 585 3. 79.

Answers

The approximate value of q in the equation is [tex]0.774[/tex]

The equation is given as:

[tex]q\log_2(6) = 2[/tex]

Divide both sides of the equation by [tex]\log_2(6)[/tex].

So, we have:

[tex]q= \frac{2}{\log_2(6) }[/tex]

Determine log(6) base 2

[tex]q= \frac{2}{2.585}[/tex]

Divide 2 by 2.585

[tex]q= 0.774[/tex]

Hence, the approximate value of q in the equation is [tex]0.774[/tex]

Read more about logarithmic equations at:

https://brainly.com/question/11897620

Find the equation that has a slope of -2 and passes through the point (0,4)
pleaseeeee

Answers

Answer:

y=-2x+4

Step-by-step explanation:

y=mx+b

y=-2x+b

4=-2(0)+b

4=0+b

4=b

y=-2x+4

x= [ ? ]°
104°
1170
1249
100°

Answers

Answer:

okkkkkkkkkkkkkkkkkkkkkkkkkkk

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Sum of angles of a pentagon is ~ 540°

Therefore,

[tex] \sf104 + 117 + 100 + 124 + x = 540 [/tex]

[tex] \sf445 + x = 540[/tex]

[tex] \sf x = 540 - 445[/tex]

[tex] \sf x = 95 \degree[/tex]

Value of x = 95°

solve 5/4 ​ × (− 9/2 ​ )

Answers

Answer:

-40/8= -5

Step-by-step explanation:

Multiply the top to get -40 then the bottom to get 8. When you simplify, you get -5.

Answer:

-5.625

Step-by-step explanation:

5/4 × (-9/2)

=5×(-9)/4×2

=-45/8

=-5.625

WHAT IS 62729287937927497393884x0
I NEED HELP!!!!!!!!!
PLEASEEEEEE

Answers

Answer:your mom

Step-by-step explanation:

[tex]\huge \bf༆ Answer ༄[/tex]

Any value multiplied by Zero gives Zero, therefore ~

[tex] \sf62729287937927497393884 \times 0 = 0[/tex]

The following diagram shows the side view of a roof and attic space of a newly constructed
home. Find m

A. 20°
B. 40°
C. 60°
D. 25°

Answers

Answer:

A 20

Step-by-step explanation:

yeah-ya....... right?

What is the equation of the line that passes through the point (-8,3) and has a slope of -1/4

Answers

The slope is -1/4, which is -0.25x. We know that we are exactly 8 units to the left of the y axis, so we can use the slope to determine the change within the coordinates as the line moves across the graph. The slope has a rise of -1 and a run of 4, meaning every 4 units to the right will be 1 unit up. We must move 8 units to the right, which in turn moves the graph down 8 quarter units. 8 x (1/4) is 2, so we know that the graph has moved down 2 units. (Down because the graph has a negative slope). (-8,3)->(0,1). From this coordinate, we can see the y intercept is 1. Since y=mx+b, we can write y=-1/4x+1. This is your equation. (Sorry for the length, wanted to be thorough)

y=-1/4x+1 is the equation of the line that passes through the point (-8,3) and has a slope of -1/4

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We have to find equation of  the line that passes through the point (-8,3) and has a slope of -1/4

m=-1/4

Let us find y intercept

3=-1/4(-8)+b

3=2+b

b=1

Hence, y=-1/4x+1 is the equation of the line that passes through the point (-8,3) and has a slope of -1/4

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ2

A flying disc has a 7 3/4 inch radius. What is its approximate circumference,
rounded to the nearest inch?

Answers

Answer:

  49 in

Step-by-step explanation:

The circumference of a circle with radius r is ...

  C = 2πr

The disc with the given radius has a circumference of ...

  C = 2π(7.75 in) ≈ 49 in

Help help hep math math

Answers

Answer:

96

Step-by-step explanation:

C=πd

C=?

π=3

d=32

C=3×32

Therefore C=96

The value of a small airplane depreciates exponentially every year after it is
purchased. The value, in thousands of dollars, alt), of Plane X, t years after purchase
can be approximated by this function.

Answers

Answer: the operation can be said as x( 576-68)t-5= x

Step-by-step explanation:

You can see this because I am smart and just am

-2/9 (-5/3) I Ready Multiply and Divide Rationals.

Answers

-2/6 -1/2 mine is in the same English as the first

(-a + (-b)) + (-c) = -(a + b) + (-c)

A:associative
B:commutative
C:distributive
D:opposite of a sum

Answers

Answer: c

Step-by-step explanation:

write an equation in slope intercept form of the line that passes through the points (-3,6) and (0,0)

Answers

Answer:

y=-2x

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(0-6)/(0-(-3))

m=-6/(0+3)

m=-6/3

m=-2

y-y1=m(x-x1)

y-6=-2(x-(-3))

y-6=-2(x+3)

y=-2x-6+6

y=-2x

Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.

Jake drew a scale drawing of a house. He used the scale 10 inches = 6 feet. What is the scale factor of the drawing?

Simplify your answer and write it as a fraction.

Answers

Answer:

5:36

Step-by-step explanation:

12 inches = 1 foot, so 6 feet = 72 inches

10:72, reduces to 5:36

how do you compute the area of the triangle

Answers

the area of a triangle can be calculated by

1/2 *b*h

or
bh/2

(b is base;H is height)

Find the equation of line through (-15,9) with slope 4/5 in slope-intercept form.

Answers

Answer:

well, we know it is

y = -4 x + b

so all we need is b

5 = -4(9) + b

5 = -36 + b

b = 41

so

y = -4 x + 41

help plz
help
help
help
help
help
help

Answers

Answer:

A

Step-by-step explanation:

-|x+3| has a x-intercept of -3. A is the only option with -3 as an x-intercept.

-hope it helps

Answer:

answer be A

Step-by-step explanation:

2. A small university is trying to monitor its electricity usage. For a random sample of
30 weekend days (Saturdays and Sundays), the student center used an average of 94.26 kilowatt hours (kWh) with standard deviation 43.29. For a random sample of 60 weekdays, (Monday - Friday), the student center used an average of 112.63 kWh with standard deviation 32.07.(Please show work)

a) Test, at the 5% level, if significantly more electricity is used at the student center, on average, on weekdays than weekend days. Remember to check the conditions, identify the hypotheses, define your parameter, find the test statistic, find the p-value, and give a conclusion in context.

b) Construct a 95% confidence interval for the difference in mean electricity use at the student center between weekdays and weekend days. Use two decimal places in your margin of error.

Answers

Using the t-distribution, it is found that:

a) Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that significantly more electricity is used at the student center, on average, on weekdays than weekend days.

b) The 95% confidence interval for the difference in mean electricity use at the student center between weekdays and weekend days is (3.56, 33.18).

Item a:

At the null hypothesis, it is tested if there is no difference, that is, the subtraction is at most 0, hence:

[tex]H_0: \mu_1 - \mu_2 \leq 0[/tex]

At the alternative hypothesis, it is tested if there is difference, that is, the subtraction is positive, hence:

[tex]H_1: \mu_1 - \mu_2 > 0[/tex]

The standard errors are given by:

[tex]s_1 = \frac{32.07}{\sqrt{60}} = 4.14[/tex]

[tex]s_2 = \frac{43.29}{\sqrt{30}} = 7.9[/tex]

The distribution of the difference has mean and standard deviation given by:

[tex]\overline{x} = \mu_1 - \mu_2 = 112.63 - 94.26 = 18.37[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{4.14^2 + 7.9^2} = 8.92[/tex]

The standard deviation are given for the samples, hence, the t-distribution is used.

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the hypothesis.

Hence:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

[tex]t = \frac{18.37 - 0}{8.92}[/tex]

[tex]t = 2.06[/tex]

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05 and 30 + 60 - 2 = 88 df is [tex]t^{\ast} = 1.66[/tex]

Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that significantly more electricity is used at the student center, on average, on weekdays than weekend days.

Item b:

The interval is:

[tex]\overline{x} \pm t^{\ast}s[/tex]

Hence:

[tex]\overline{x} - t^{\ast}s = 18.37 - 1.66(8.92) = 3.56[/tex]

[tex]\overline{x} + t^{\ast}s = 18.37 + 1.66(8.92) = 33.18[/tex]

The 95% confidence interval for the difference in mean electricity use at the student center between weekdays and weekend days is (3.56, 33.18).

A similar problem is given at https://brainly.com/question/25812826

Find the slope-intercept equation of the line
that passes through (5, -3) and has a
slope of -1/2

Answers

Answer:

y = -1/2x - 1/2

Step-by-step explanation:

lmk if you want an explanation

URGENT!!!!!!!!!!!!!!! :

m(x) = -1/2f(x - 3) - 1

Answers

Answer:

-1/2f I think

Step-by-step explanation:

distribute the -1/2

use differentiation rules

calculate all together

then simplify

Hope this helps

Find the sum in SIMPLEST form:

3/10+1/10=

A 4/20
B 2/5
C 4/10
D 1/5

Answers

Answer:

B. 2/5

Step-by-step explanation:

I hope this helps!

Answer:

B 2/5

Step-by-step explanation:

Help pls + brainliest

Answers

Answer:

Letter C.

Step-by-step explanation:

Lap 1 be x

Lap 2 be y

Line graph: plot the values, and will get C.

Consider the graph.



Which function best represents the distance remaining, in miles, after
x
minutes?


f
(
x
)
=
10
7
x
+
35

f ( x ) = 10 7 x + 35

f
(
x
)
=
7
10
x
+
35

f ( x ) = 7 10 x + 35

f
(
x
)
=

7
10
x
+
35

f ( x ) = − − 7 10 x + 35

f
(
x
)
=

10
7
x
+
35

f ( x ) = − − 10 7 x + 35

Answers

Answer:

X=5

The factors of x^2 + 2x - 35 are

(X-5) (x+7)

Set x equal to zero & solve

X-5=0

X=5

Step-by-step explanation:

Maya has $15 to spend. She spent $5.50, including tax, to buy a notebook. She needs to save $7.75, but she wants to buy a snack. If cookies cost $0.25 per package including tax, what inequality would show the maximum number of packages that Maya can buy? Solve your inequality by showing your work and steps. (10 points)
(no links and I will give brainliest)

Answers

Answer: 7 packages.

Step-by-step explanation:

Let x represent number of cookie packages.

We have been given that Maya has $15 to spend. She spent $5.50, including tax, to buy a notebook.

Amount left after buying notebook would be .

As Maya needs to save $7.75, so money left to buy cookies would be .

We are also told that cost of each cookie package is $0.25. The cost of x packages would be .

The cost of x packages should be less than or equal to 7.75.

Therefore, Maya can buy at-most 7 packages.

Have a great Day/Night

Answer:

7 packages

Step-by-step explanation:

Let x represent number of cookie packages.

We have been given that Maya has $15 to spend. She spent $5.50, including tax, to buy a notebook.

Amount left after buying notebook would be .

As Maya needs to save $7.75, so money left to buy cookies would be .

We are also told that cost of each cookie package is $0.25. The cost of x packages would be .

The cost of x packages should be less than or equal to 7.75.

Therefore, Maya can buy at-most 7 packages.

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