# Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.2 Linear Functions and Their Graphs - Exercise Set 7.2: 6

Refer to the image below for the graph.

#### Work Step by Step

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

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