Answer
x-intercept: $(2, 0)$
y-intercept: $(0, -2)$
Refer to the graph below.
Work Step by Step
To find the x-intercept, set y=0, then solve for $x$:
$5x-10=5y
\\5x-10=5(0)
\\5x-10=0
\\5x=10
\\\frac{5x}{5}=\frac{10}{5}
\\x=2$
Thus, the x-intercept is $(2, 0)$.
To find the y-intercept, set x=0, then solve for $y$:
$5x-10=5y
\\5(0)-10=5y
\\0-10=5y
\\-10=5y
\\\frac{-10}{5}=\frac{5y}{5}
\\-2=y$
Thus, the y-intercept is $(0, -2)$.
Plot the intercepts on the same coordinate plane, then connect the two points using a line. Refer to the attached image in the answer part above for the graph.
