Answer
x-intercept: $(-20, 0)$
y-intercept: $(0, \frac{50}{3})$
Work Step by Step
To find the x-intercept, set $y=0$ then solve for $x$:
$-5x+6y=100
\\-5x+6(0)=100
\\-5x=100
\\\frac{-5x}{-5}=\frac{100}{-5}
\\x=-20$
Thus, the x-intercept of the graph of the given equation is $(-20, 0)$.
To find the y-intercept, set $x=0$ then solve for $y$:
$-5x+6y=100
\\-5(0)+6y=100
\\6y=100
\\\frac{6y}{6}=\frac{100}{6}
\\y=\frac{50}{3}$
Thus, the y-intercept of the graph of the given equation is $(0, \frac{50}{3})$.
