## Thinking Mathematically (6th Edition)

(1) Solve for the $x$ and $y$ intercepts. To find the x-intercept, set $y=0$ and then solve for $x$: $\\5x=3y-15 \\5x = 3(0) - 15 \\5x = -15 \\x =\frac{-15}{5} \\x=-3$ This means that the x-intercept is at $(-3,0)$. To find the y-intercept, set x=0 and then solve for $y$: $5x=3y-15 \\5(0)=3y-15 \\0=3y-15 \\15=3y \\\frac{15}{3}=y \\5=y$ This means that the y-intercept is at $(0,5)$. (2) Plot the intercepts and then connect them using a line.