Answer
x-intercept: $(5, 0)$
y-intercept: $(0, 3)$
Work Step by Step
To find the x-intercept, set $y=0$ then solve for $x$:
$3x+5y=15
\\3x+5(0)=15
\\3x=15
\\\frac{3x}{3}=\frac{15}{3}
\\x=5$
Thus, the x-intercept of the graph of the given equation is $(5, 0)$.
To find the y-intercept, set $x=0$ then solve for $y$:
$3x+5y=15
\\3(0)+5y=15
\\5y=15
\\\frac{5y}{5}=\frac{15}{5}
\\y=3$
Thus, the y-intercept of the graph of the given equation is $(0, 3)$.
