Question

Graph the inequality y > 1/2 x - 2

Answer 1

Slope intercept form:

y=mx+b

Where:

m= slope

b= y-intercept

For: y=1/2x-2

slope = 1/2

b= -2

To graph it we have to look at the y-intercept.(-2) It means that the line crosses the y axis at y=-2.

looking at the slope, we know that slope = rise (y) / run (x). 1/2

For every 2 units along the x-axis (to the right) the line goes up by 1 unit.

Since inequality has a y> the line is not included in the solution, so it's a dashed line, where the solution is above the line.