(-6,0) , (-7,-3)

Slope is equal to the change in y over the change in x, or rise over run.

m=change in ychange in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).

m=y2-y1x2-x1

Substitute in the values of x and y into the equation to find the slope.

m=-3-(0)-7-(-6)

Simplify.

Simplify the numerator.

Multiply -1 by 0.

m=-3+0-7-(-6)

Add -3 and 0.

m=-3-7-(-6)

m=-3-7-(-6)

Simplify the denominator.

Multiply -1 by -6.

m=-3-7+6

Add -7 and 6.

m=-3-1

m=-3-1

Divide -3 by -1.

m=3

m=3

m=3

Substitute the value of m into the slope-intercept form of the equation, y=mx+b.

y=(3)⋅x+b

Substitute the value of x into the slope-intercept form of the equation, y=mx+b.

y=(3)⋅(-6)+b

Substitute the value of y into the slope-intercept form of the equation, y=mx+b.

0=(3)⋅(-6)+b

Rewrite the equation as (3)⋅(-6)+b=0.

(3)⋅(-6)+b=0

Multiply 3 by -6.

-18+b=0

Add 18 to both sides of the equation.

b=18

b=18

The values of the slope and y-intercept are m=3 and b=18.

m=3

b=18

Find the Slope and Y-Intercept (-6,0) , (-7,-3)