Question

How do you find the slope and intercept to graph `y=2x-1`?

Answer 1

Your line is actually already written in the slope-intercept form: when a line is written as

`y=mx+q`

you know that `m` is the slope and `q` is the intercept. So, in your case, the slope is `2` and the intercept is `-1`.

As for the graphing part, a line is surely the easiest function to graph, you simply need two points on the line, and then connect them. Furthermore, since you already know that the `y`-intercept is `-1`, you know that `(0,-1)` is a point on the line.

To find the second point, pick any value of `x` and find its `y`: for example, if `x=1`, you have `f(1)=2*1-1=1`, so `(1,1)` is another point on the line.

To graph it, then, simply connect the points `(0,-1)` and `(1,1)`.