(-2,-2) , (6,6)

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=6-(-2)6-(-2)

Cancel the common factor of 6-(-2).

Cancel the common factor.

m=6-(-2)6-(-2)

Divide 1 by 1.

m=1

m=1

m=1

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

y=(1)⋅x+b

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

y=(1)⋅(-2)+b

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

-2=(1)⋅(-2)+b

Rewrite the equation as (1)⋅(-2)+b=-2.

(1)⋅(-2)+b=-2

Multiply -2 by 1.

-2+b=-2

Move all terms not containing b to the right side of the equation.

Add 2 to both sides of the equation.

b=-2+2

Add -2 and 2.

b=0

b=0

b=0

The values of the slope and y-intercept are m=1 and b=0.

m=1

b=0

Find the Slope and Y-Intercept (-2,-2) , (6,6)