Question

How do you graph the inequality `y<2/3x + 3`?

Answer 1

The slope is `(2/3)` and the y-intercept is `3`
graph{y<(2/3)x+3 [-10, 10, -5, 5]}

Explanation:

The inequality is already written in the slope/intercept form, y=mx+b, where `m` is the slope of the line and `b` is the y-intecept. Since you are dealing with the inequality `<`, the graph is everything below and not including the line `y=(2/3)x +3`. Therefore shade the region below the broken line, which shows that the line is not included in the solution.