Solve for: 3x+2y=7

Expression: $3x+2y=7$

Rewrite the equation in slope-intercept form

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

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 $x$

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

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

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

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

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