Answer
The graph is shown below.
Work Step by Step
The given linear equation is
$\Rightarrow -\frac{5}{2}x+y=10$
$x$ intercept.
Substitute $0$ for $y$.
$\Rightarrow -\frac{5}{2}x+0=10$
Simplify.
$\Rightarrow -\frac{5}{2}x=10$
Multiply each side by $-\frac{2}{5}$.
$\Rightarrow -\frac{2}{5}(-\frac{5}{2}x)=-\frac{2}{5}(10)$
Simplify.
$\Rightarrow x=-4$
The $x-$ intercept is $-4$, so plot the point $A=(-4,0)$
$y$ intercept.
Substitute $0$ for $x$.
$\Rightarrow -\frac{5}{2}(0)+y=10$
Simplify.
$\Rightarrow 0+y=10$
$\Rightarrow y=10$
The $y-$ intercept is $10$, so plot the point $B=(0,10)$
Draw a line through the points $A$ and $B$.
