Evaluate: 3x-2y=-14

Expression: $3x-2y=-14$

Rewrite the equation in slope-intercept form

$y=\frac{ 3 }{ 2 }x+7$

Since the equation is written in slope-intercept form, $y=mx+b$, identify the slope of the line as the coefficient next to the variable $x$

$\begin{array} { l }y=\frac{ 3 }{ 2 }x+7,& m=\frac{ 3 }{ 2 }\end{array}$

Identify the $y$-intercept of the line as the constant term

$\begin{array} { l }y=\frac{ 3 }{ 2 }x+7,& m=\frac{ 3 }{ 2 },& b=7\end{array}$

The slope of the line is $m=\frac{ 3 }{ 2 }$ and the $y$-intercept is $b=7$

$\begin{array} { l }m=\frac{ 3 }{ 2 },& b=7\end{array}$