How do you graph $g(x)=2x-2$ by plotting points?

Question

5587 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-29T12:13:04

See below.

$g(x)=2x-2$

$y=2x-2$

This is just the equation of a line, therefore we only need to find two points and the connect these with a straight line.

We will use intercept points:

The y axis intercept occurs where $x=0$

$y=2(0)-2$

$y=-2$

Coordinates:

$color(blue)((0,-2)$

The x axis intercept occurs where $y=0$

$0=2x-2$

Add 2 to both sides:

$2=2x$

Divide by 2:

$x=1$

Coordinates:

$color(blue)((1,0)$

Plot these two points and join with a straight line. You should have a graph that looks like this:

graph{y=2x-2 [-10, 10, -5, 5]}

How do you graph g(x)=2x-2g(x)=2x-2 by plotting points?