Write in Slope-Intercept Form y+17=3(x+6)-14

$y + 17 = 3 (x + 6) - 14$

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

$y = m x + b$

Rewrite in slope-intercept form.

Simplify the right side.

Simplify $3 (x + 6) - 14$ .

Simplify each term.

Apply the distributive property.

$y + 17 = 3 x + 3 \cdot 6 - 14$

Multiply $3$ by $6$ .

$y + 17 = 3 x + 18 - 14$

Subtract $14$ from $18$ .

$y + 17 = 3 x + 4$

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

Subtract $17$ from both sides of the equation.

$y = 3 x + 4 - 17$

Subtract $17$ from $4$ .

$y = 3 x - 13$