# Evaluate: x-2y=12

## Expression: $x-2y=12$

Rewrite the equation in slope-intercept form

$y=\frac{ 1 }{ 2 }x-6$

Subtracting is the same as adding the opposite

$y=\frac{ 1 }{ 2 }x+\left( -6 \right)$

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 $x$

$\begin{array} { l }y=\frac{ 1 }{ 2 }x+\left( -6 \right),& m=\frac{ 1 }{ 2 }\end{array}$

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

$\begin{array} { l }y=\frac{ 1 }{ 2 }x+\left( -6 \right),& m=\frac{ 1 }{ 2 },& b=-6\end{array}$

The slope of the line is $m=\frac{ 1 }{ 2 }$ and the $y$-intercept is $b=-6$

$\begin{array} { l }m=\frac{ 1 }{ 2 },& b=-6\end{array}$

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