Question

How do you graph the line `y=2x-5`?

Answer 1

See below:

Explanation:

The equation is in slope intercept form, where the general form is:

`y=mx+b`, with `m` = slope and `b` = the y-intercept.

One way to graph it is to first plot the y-intercept. We are given the `y` point as `-5` and since it's the y-intercept, `x=0`, so we have `(0,-5)`

We also know the slope, `m=2`. One way to think of slope is `"rise"/"run"`. In our case where slope is 2, we can "rise" 2 points for every point we "run" (or move right along the x-axis). With our first point at `(0,-5)`, we can apply the slope and "rise" 2 (from `-5` up to `-3`) and "run" 1 (from 0 to 1), giving us `(1,-3)` and our second point. Plot them and draw a straight line through them.

The graph will look like this:

graph{2x-5 [-13.35, 18.68, -8.41, 7.61]}