Ask question

Ask question

All categories

ludmilkaskok [199]

3 years ago

12

Write the slope-intercept form (y=mx+b) of the equation of the line through the given points.

1 answer:

scoundrel [369]3 years ago

4 0

Answer: $y = \frac{4}{5}x-\frac{3}{5}$

m = 4/5 is the slope

b = -3/5 is the y intercept

====================================

First find the slope

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

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

m = -4/(-5)

m = 4/5

Then use point-slope form

$y - y_1 = m(x - x_1)\\\\y - 1 = \frac{4}{5}(x - 2)\\\\y - 1 = \frac{4}{5}x + \frac{4}{5}(-2)\\\\y - 1 = \frac{4}{5}x - \frac{8}{5}\\\\y = \frac{4}{5}x - \frac{8}{5} + 1\\\\y = \frac{4}{5}x - \frac{8}{5} + \frac{5}{5}\\\\y = \frac{4}{5}x + \frac{-8+5}{5}\\\\y = \frac{4}{5}x - \frac{3}{5}\\\\$

The equation is in the form y = mx+b with m = 4/5 as the slope and b = -3/5 as the y intercept.

You might be interested in

In square ABCD, AC = 6x + 10, and BD = 10x + 2. What is the length of AC?

Oksanka [162]

Answer:

B) 22

Step-by-step explanation:

AC = BD

6x+10 = 10x+2

simplify:

subtract 6x and 2 from both sides:

4x = 8

x = 2

then:

AC = 6(2)+10 = 22

6 0

3 years ago

Read 2 more answers

Staples pays George Nagovsky an annual salary of $36,000. Today, George's boss informs him that he will received a $4,600 raise.

konstantin123 [22]

George will receive 13% of his old income

3 0

3 years ago

LaTesha and Bernard are playing a game. Their scores for five games are shown in the table below. LaTesha’s and Bernard’s Scores

andre [41]

Answer:

The means differ by 1, but the ranges differ by 40.

Step-by-step explanation:

The mean for LaTesha's score is (92+45+67+36+80)/5= 64

The mean for Benards score is (63+68+62+69+53)/5= 63

The range for LaTeshas score is 92-36=56

The range for Benards score is 69-53=16

So, 64-63=1 and 56-16= 40

6 0

3 years ago

Find the equation of the circle with a diameter whose end points are (-1,-2) and (-3,2)

Sergeeva-Olga [200]

Answer:

The equation of the circle with a diameter whose end points are (-1,-2) and (-3,2) is

$x^{2} +y^{2}+4x-1=0$

Step-by-step explanation:

<u>Explanation:</u>-

<u>Step 1:</u>-

The equation of the circle having center and radius is

$(x-h)^2+(y-k)^2=r^2$

here center is (h,k) and radius is r

Given diameter whose end points are (-1,-2) and (-3,2)

The diameter of the circle is passing through the center of the circle

so center of the circle = midpoint of two end points

$(\frac{-1 +(-3) }{2} ,\frac{-2+2 }{2} )$

$(-2,0)$

therefore center (h,k) = (-2,0)

<u>Step 2:-</u>

we have to find the radius of the circle

the radius of the circle = the distance from center to the one end point

i.e., C P = r

Given one end point is P(-3,2) and center C(-2,0)

The distance formula of two points are

$\sqrt{(x_{2}-x_{1} ) ^{2}+ (y_{2}-y_{1} ) ^{2}}$

$r=\sqrt{{(-3)-(-1) ) ^{2}+ (2-(-2)) ^{2}}$

$r=\sqrt{5}$

<u>Step 3</u>:-

center (h,k) = (-2,0) and

radius $r=\sqrt{5}$

The standard form of circle equation

$(x-h)^2+(y-k)^2=r^2$

$(x-(-2))^2+(y-0)^2=\sqrt{5} ^2$

on simplification is

$x^{2} +y^{2}+4 x-1=0$

5 0

3 years ago

Pam is looking for a new car. She has test-driven two cars but can only purchase one. The probability that she will purchase car

laiz [17]

I am pretty sure it would be either .20 or .12.

5 0

3 years ago