Answer
The graph is shown below.
Work Step by Step
The given linear equation is
$\Rightarrow -x+2y=7$
$x$ intercept.
Substitute $0$ for $y$.
$\Rightarrow -x+2(0)=7$
Simplify.
$\Rightarrow -x=7$
Multiply each side by $-1$.
$\Rightarrow -1(-x)=-1(7)$
Simplify.
$\Rightarrow x=-7$
The $x-$ intercept is $-7$, so plot the point $(-7,0)$
$y$ intercept.
Substitute $0$ for $x$.
$\Rightarrow -(0)+2y=7$
Simplify.
$\Rightarrow 0+2y=7$
$\Rightarrow 2y=7$
Divide each side by $2$.
$\Rightarrow \frac{2y}{2}=\frac{7}{2}$
Simplify.
$\Rightarrow y=\frac{7}{2}$
The $y-$ intercept is $\frac{7}{2}$, so plot the point $B=(0,\frac{7}{2})$
Draw a line through the points $A$ and $B$.
