y+2=32⋅(x+7)

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Simplify 32⋅(x+7).

Apply the distributive property.

y+2=32x+32⋅7

Combine 32 and x.

y+2=3×2+32⋅7

Multiply 32⋅7.

Combine 32 and 7.

y+2=3×2+3⋅72

Multiply 3 by 7.

y+2=3×2+212

y+2=3×2+212

y+2=3×2+212

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

Subtract 2 from both sides of the equation.

y=3×2+212-2

To write -2 as a fraction with a common denominator, multiply by 22.

y=3×2+212-2⋅22

Combine -2 and 22.

y=3×2+212+-2⋅22

Combine the numerators over the common denominator.

y=3×2+21-2⋅22

Simplify the numerator.

Multiply -2 by 2.

y=3×2+21-42

Subtract 4 from 21.

y=3×2+172

y=3×2+172

y=3×2+172

Rewrite in slope-intercept form.

y=32x+172

y=32x+172

Using the slope-intercept form, the slope is 32.

m=32

Find the Slope y+2=3/2*(x+7)