(-6,0) , (-7,-4)

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=-4-(0)-7-(-6)

Simplify.

Simplify the numerator.

Multiply -1 by 0.

m=-4+0-7-(-6)

Add -4 and 0.

m=-4-7-(-6)

m=-4-7-(-6)

Simplify the denominator.

Multiply -1 by -6.

m=-4-7+6

Add -7 and 6.

m=-4-1

m=-4-1

Divide -4 by -1.

m=4

m=4

m=4

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

y=(4)⋅x+b

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

y=(4)⋅(-6)+b

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

0=(4)⋅(-6)+b

Rewrite the equation as (4)⋅(-6)+b=0.

(4)⋅(-6)+b=0

Multiply 4 by -6.

-24+b=0

Add 24 to both sides of the equation.

b=24

b=24

The values of the slope and y-intercept are m=4 and b=24.

m=4

b=24

Find the Slope and Y-Intercept (-6,0) , (-7,-4)