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

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

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.

Move all terms containing $y$ to the left side of the equation.

Subtract $2 y$ from both sides of the equation.

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

Subtract $2 y$ from $3 y$ .

$y + 2 = - 5 x$

Subtract $2$ from both sides of the equation.

$y = - 5 x - 2$