# How do you graph 2x-1=y?

See below

#### Explanation:

This equation is in slope-intercept form so the values for graphing are provided.

The general form is

color(pink)(| bar(ul(color(black)(y=color(red)mcolor(black)x+color(green)b)) |)

with $\textcolor{red}{m}$ being the slope and $\textcolor{g r e e n}{b}$ being the y-intercept.

We have:

$y = \textcolor{red}{2} x \textcolor{g r e e n}{- 1}$

The y-intercept is at $\left(0 , - 1\right)$

We can then apply the slope. $\textcolor{red}{m} = \text{rise"/"run} = 2$, which means we can move two units up for every one unit to the right. Starting from $\left(0 , - 1\right)$, we can move two units up and one unit to the right, so we'll get:

$\left(0 + 1 , - 1 + 2\right) = \left(1 , 1\right)$

We can then plot the two points and connect them.

Graphed, it looks like this:

graph{2x-1 [-10, 10, -5, 5]}