Question

Find the x- and y-intercepts of the graph of 3, x, minus, 4, y, equals, 273x−4y=27. State each answer as an integer or an improper fraction in simplest form.

Answer 1

For the x-intercept, we set $y=0$ and solve for $x$. We have $273x-4(0)=27 \Rightarrow 273x=27 \Rightarrow x=
\frac{27}{273} = \boxed{\frac{1}{11}}.$

For the y-intercept, we set $x=0$ and solve for $y$. We have $273(0)-4y=27 \Rightarrow -4y=27 \Rightarrow y=
\frac{27}{-4} = \boxed{-\frac{27}{4}}.$