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

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

Step 1

Rewrite in slope-intercept form.

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

$y = m x + b$

Simplify the right side.

Simplify $3 (x - 7)$ .

Apply the distributive property.

$y + 2 = 3 x + 3 \cdot - 7$

Multiply $3$ by $- 7$ .

$y + 2 = 3 x - 21$

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

Subtract $2$ from both sides of the equation.

$y = 3 x - 21 - 2$

Subtract $2$ from $- 21$ .

$y = 3 x - 23$

Step 2

Using the slope-intercept form, the slope is $3$ .

$m = 3$

Step 3