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

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

Simplify.

Simplify the numerator.

Multiply -1 by 2.

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

Subtract 2 from -2.

m=-4-6-(2)

m=-4-6-(2)

Simplify the denominator.

Multiply -1 by 2.

m=-4-6-2

Subtract 2 from -6.

m=-4-8

m=-4-8

Cancel the common factor of -4 and -8.

Factor -4 out of -4.

m=-4⋅1-8

Cancel the common factors.

Factor -4 out of -8.

m=-4⋅1-4⋅2

Cancel the common factor.

m=-4⋅1-4⋅2

Rewrite the expression.

m=12

m=12

m=12

m=12

m=12

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

y=(12)x+b

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

y=(12)⋅(2)+b

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

2=(12)⋅(2)+b

Rewrite the equation as (12)⋅(2)+b=2.

(12)⋅(2)+b=2

Cancel the common factor of 2.

Cancel the common factor.

12⋅2+b=2

Rewrite the expression.

1+b=2

1+b=2

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

Subtract 1 from both sides of the equation.

b=2-1

Subtract 1 from 2.

b=1

b=1

b=1

The values of the slope and y-intercept are m=12 and b=1.

m=12

b=1

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