Answer
x-intercept: $(\frac{150}{13}, 0)$
y-intercept: $(0, -15)$
Work Step by Step
Find the x-intercept by setting $y=0$ then solving for $x$:
$y=1.3x-15
\\0=1.3x-15
\\15=1.3x
\\\frac{15}{1.3}=\frac{1.3x}{1.3}
\\\frac{150}{13}=x
\\x=\frac{150}{13}\approx11.538$
Thus, the x-intercept is $(\frac{150}{13}, 0)$.
Find the y-intercept by setting $x=0$ then solving for $y$:
$y=1.3x-15
\\y=1.3(0)-15
\\y=0-15
\\y=-15$
Thus, the y-intercept is $(0, -15)$.
Use a graphing utility to graph the equation and verify the intercepts.
(Refer to the attached image below for the graph.)
