Answer
The $x-$ intercept is $2$.
The graph is shown below.
Work Step by Step
The given equation is
$\Rightarrow -5x+y=-10$
Add $5x$ to each side.
$\Rightarrow -5x+y+5x=-10+5x$
Simplify.
$\Rightarrow y=5x-10$
The slope-intercept form is
$\Rightarrow y=mx+b$
$y-$ intercept is $b=-10$.
Plot the $y-$ intercept $A=(0,-10)$.
The slope is $m=5$.
Slope $m=\frac{rise}{run}=\frac{5}{1}$
The next point is $1$ unit right and $5$ unit up from the point $(0,-10)$.
Plot the point $B=(1,-5)$.
Draw a line through the two points.
From the graph the line crosses the $x-$ axis at $C=(2,0)$.
Hence, the $x-$ intercept is $2$.
