Question

Graphing InequalitiesGraph the following inequality.Note: To graph the inequality:1. Select the type of line below (solid or dashed).2. Plot two points on the line.3. Click on the side that should be shaded. y < - 4x – 6

Answer 1

Given the inequality:

`y<-4x-6`

First, we will graph the line y = -4x - 6

We will graph the line using the intercepts:

when x = 0, y = -6

when y = 0, x = -6/4 = -3/2

so, the line passes through the points (0, -6) and (-3/2, 0)

The line will be dashed line because the inequality sign (<)

We will check which side will be shaded using the test point (0, 0)

So, the shaded zone doesn't contain the point (0,0)

the graph will be as shown in the following picture: