Write in Slope-Intercept Form y-5=3(x-2)

$y - 5 = 3 (x - 2)$

Step 1

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

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

Simplify the right side.

Simplify $3 (x - 2)$ .

Apply the distributive property.

$y - 5 = 3 x + 3 \cdot - 2$

Multiply $3$ by $- 2$ .

$y - 5 = 3 x - 6$

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

Add $5$ to both sides of the equation.

$y = 3 x - 6 + 5$

Add $- 6$ and $5$ .

$y = 3 x - 1$