Graph the solutions of the linear inequality -8x+2y>-6

Answer 1

To Graph

-8x + 2y > -6

Paying close attention to the signs

Change it to an equality this sets up your limiting dashed line since the original statement is an inequality

Solve for y

-8x + 2y = -6

2y = 8x - 6

y = 4x -3

Your limiting dashed line has a y intercept of (0, 3) and and x intercept of (3/4, 0)

So

y > 4x - 3

You can graph this on a graphing calculator or at Desmos.com. You can graph both the original inequality and the simplified inequality in terms of y. See if you get the same graph