# How do you graph y = |-3x| using a table of values?

Jul 28, 2018

Refer to the explanation.

#### Explanation:

Graph:

$y = \left\mid - 3 x \right\mid$

$\textcolor{w h i t e}{.} \textcolor{red}{x} \textcolor{w h i t e}{. .} | \textcolor{b l u e}{y} = \left\mid - 3 x \right\mid$
$- - - - - - -$
$\textcolor{red}{- 2} \textcolor{w h i t e}{. .} \left\mid - 3 \cdot - 2 \right\mid = \left\mid 6 \right\mid = \textcolor{b l u e}{6}$
$\textcolor{red}{- 1} \textcolor{w h i t e}{. .} \left\mid - 3 \cdot - 1 \right\mid = \left\mid 3 \right\mid = \textcolor{b l u e}{3}$
$\textcolor{w h i t e}{. .} \textcolor{p u r p \le}{0} \textcolor{w h i t e}{. .} \left\mid - 3 \cdot 0 \right\mid \textcolor{w h i t e}{\ldots .} = \left\mid 0 \right\mid \textcolor{w h i t e}{} = \textcolor{p u r p \le}{0}$
$\textcolor{w h i t e}{. .} \textcolor{red}{1} \textcolor{w h i t e}{\ldots} \left\mid - 3 \cdot 1 \right\mid \textcolor{w h i t e}{\ldots .} = \left\mid - 3 \right\mid \textcolor{w h i t e}{} = \textcolor{b l u e}{3}$
$\textcolor{w h i t e}{. .} \textcolor{red}{2} \textcolor{w h i t e}{\ldots} \left\mid - 3 \cdot 2 \right\mid \textcolor{w h i t e}{\ldots .} = \left\mid - 6 \right\mid = \textcolor{w h i t e}{} \textcolor{b l u e}{6}$

Plot the points. Draw straight lines through both sets of points, one with $- x$ values, and one with $x$ values.

graph{y=abs(-3x) [-9.96, 10.04, -3.12, 6.88]}