Answer
x-intercept = 2
y-intercept = 5
Refer to the attached image below for the graph.
Work Step by Step
RECALL:
(i) The x-intercept can be found by setting y=0 then solving for $x$.
(ii) The y-intercept can be found by setting x=0 then solving for $y$.
Solve for the intercepts to have:
x-intercept:
$5x+2y-10=0
\\5x+2(0)-10=0
\\5x-10=0
\\5x=10
\\x=2$
The x-intercept point is (2, 0).
y-intercept:
$5x+2y-10=0
\\5(0)+2y-10=0
\\2y-10=0
\\2y=10
\\y=5$
The y-intercept point is (0, 5).
Plot these points and connect them using a line.
(refer to the attached image in the answer part)