Arrange the following inequality into slope-intercept form. Then, describe what type of boundary line would be used and where to shade.

Question

6x > 2y ‒ 5

Answer 1

To put this equation in point slope form, we want an equation of the form y=mx+b or in this case, y< mx+b or y< mx+b. To isolate y, we divide through by 2 and move the 5/2 to the other side, so the equation becomes 3x+5/2 > y. So, since we are interested in all values of y that are less that 3x+5/2 we would shade the region below the line. Since y=3x+5/2 is not a solution to the inequality since it is strictly less, we would need a dashed boundary line since the boundary is not included.