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How do you graph y = | -3x+5 |?

Dec 8, 2017

See below.

Explanation:

We need to graph to lines.

$y = - 3 x + 5$ and $y = 3 x - 5$

We need to find the x axis intercept of these. Which is:

$\frac{5}{3}$

Since we can only have positive y values, we need to graph these piecewise.

For $\textcolor{w h i t e}{88} x \ge \frac{5}{3} \to 3 x - 5$

For $\textcolor{w h i t e}{88} x \le \frac{5}{3} \to - 3 x + 5$

Graph: