Answer
The graph is shown below.
Work Step by Step
The given equation of the line is
$\Rightarrow 2x-y=6$
Plug $y=0$ for the $x−$intercept.
$\Rightarrow 2x-0=6$
Divide both sides by $2$.
$\Rightarrow x=3$
The $x−$intercept is $3$, so the line passes through $(3,0)$.
Plug $x=0$ for the $y−$intercept.
$\Rightarrow 2(0)-y=6$
Simplify.
$\Rightarrow -y=6$
Multiply both sides by $-1$.
$\Rightarrow y=-6$
The $y−$intercept is $-6$, so the line passes through $(0,-6)$.
Checkpoint plug $y=2$.
$\Rightarrow 2x-2=6$
Add $2$ to both sides.
$\Rightarrow 2x-2+2=6+2$
$\Rightarrow 2x=8$
Divide both sides by $2$.
$\Rightarrow x=4$
The checkpoint is $(4,2)$.
Draw a straight line through these three points.
