(-2,2) , (3,-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-(2)3-(-2)

Simplify.

Simplify the numerator.

Multiply -1 by 2.

m=-4-23-(-2)

Subtract 2 from -4.

m=-63-(-2)

m=-63-(-2)

Simplify the denominator.

Multiply -1 by -2.

m=-63+2

Add 3 and 2.

m=-65

m=-65

Move the negative in front of the fraction.

m=-65

m=-65

m=-65

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

y=(-65)⋅x+b

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

y=(-65)⋅(-2)+b

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

2=(-65)⋅(-2)+b

Rewrite the equation as (-65)⋅(-2)+b=2.

(-65)⋅(-2)+b=2

Multiply (-65)(-2).

Multiply -2 by -1.

2(65)+b=2

Combine 2 and 65.

2⋅65+b=2

Multiply 2 by 6.

125+b=2

125+b=2

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

Subtract 125 from both sides of the equation.

b=2-125

To write 2 as a fraction with a common denominator, multiply by 55.

b=2⋅55-125

Combine 2 and 55.

b=2⋅55-125

Combine the numerators over the common denominator.

b=2⋅5-125

Simplify the numerator.

Multiply 2 by 5.

b=10-125

Subtract 12 from 10.

b=-25

b=-25

Move the negative in front of the fraction.

b=-25

b=-25

b=-25

The values of the slope and y-intercept are m=-65 and b=-25.

m=-65

b=-25

Find the Slope and Y-Intercept (-2,2) , (3,-4)