## Thinking Mathematically (6th Edition)

(1) Solve for the x and y intercepts. To find the x-intercept, set $y = 0$ and then solve for $x$: $2x+y=6 \\2x+0= 6 \\2x=6 \\x=\frac{6}{2} \\x=3$ This means that the x-intercept is at $(3, 0)$. To find the y-intercept, set $x = 0$ and then solve for $y$: $2x+y=6 \\2(0) +y =6 \\0+y=6 \\y=6$ This means that the y-intercept is at $(0, 6)$. (2) Plot the intercepts and then connect them using a line.