Question

Which of the following graphs would represent the solution set for y > 4/5 x – 1?

Answer 1

It's this graph. You didn't give me any options in the question.

Answer 2

The correct graph would be a dashed line with a shading above it.

The given inequality is in slope-intercept form (y=mx+b), where

m is the slope (in this case,
`(4)/(5)` ) and b is the y-intercept (-1).

To graph the inequality y>
`(4)/(5)` x−1, follow these steps:

Plot the y-intercept: Start by plotting the point (0, -1).

Use the slope: Since the slope is
`(4)/(5)` , move up 4 units and to the right 5 units from the y-intercept to find another point. Connect these two points with a dashed line.

Shade the region above the line: Since the inequality is y>
`(4)/(5)`​ x−1, you want to shade the region above the line. This indicates all the points (x, y) that satisfy the inequality.

So, in summary, the correct graph would be a dashed line with a shading above it. If the options are given graphically, look for the one that has a line with a shading above it and follows the described slope and y-intercept.