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

1 Answer

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]}