Find the Slope y-5=-3(x-17)

$y - 5 = - 3 (x - 17)$

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 $- 3 (x - 17)$ .

Apply the distributive property.

$y - 5 = - 3 x - 3 \cdot - 17$

Multiply $- 3$ by $- 17$ .

$y - 5 = - 3 x + 51$

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

Add $5$ to both sides of the equation.

$y = - 3 x + 51 + 5$

Add $51$ and $5$ .

$y = - 3 x + 56$

Step 2

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

$m = - 3$

Step 3