Question

How do you graph `y = 1/2x + 2` by plotting points?

Answer 1

The graph would look like this:
graph{1/2x+2 [-10, 10, -5, 5]}

Explanation:

Since the equation is already in the form of `y=mx+b`, we could easily graph this equation. Remember: `m` is the slope of the line while `b` is the y-intercept. Also, remember that m is `(rise)/(run)`.

Therefore, first, you would plot a point on the y-axis. Since the y-intercept is 2, you would plot it on (0,2).

Then, you would graph another point in a spot by moving two spaces to the right and one space up from your y-intercept. You can repeat the process if you want to.

If you want to plot a point that is located to the left side of the y-intercept, simply graph a point on the spot by moving one space down and two spaces to the left.

Lastly, you could connect the points and extend them.