Answer
Refer to the graph below.
Work Step by Step
The given equation can be graphed using its intercepts.
Find the x-intercept by setting $y=0$ then solving for $x$:
$2x-5y=5
\\2x-5(0)=5
\\2x=5
\\\frac{2x}{2}=\frac{5}{2}
\\x=2.5$
The x-intercept is $(2.5, 0)$.
Find the y-intercept by setting $x=0$ then solving for $y$:
$2x-5y=5
\\2(0)-5y=5
\\-5y=5
\\\frac{-5y}{-5}=\frac{5}{-5}
\\y=-1$
The y-intercept is $(0, -1)$.
Plot the x and y-intercepts then connect them using a straight line.
(Refer to the graph in the answer part above.)
