y+3=-2(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 -2(x-7).

Apply the distributive property.

y+3=-2x-2⋅-7

Multiply -2 by -7.

y+3=-2x+14

y+3=-2x+14

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

Subtract 3 from both sides of the equation.

y=-2x+14-3

Subtract 3 from 14.

y=-2x+11

y=-2x+11

y=-2x+11

Using the slope-intercept form, the slope is -2.

m=-2

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