Question

In the inequality, y > -5x + 1 What is the slope? ___________ What is the y-intercept? _____________ Is it a dashed or solid line? ______________ Do you shade above or below? _____________ Graph the inequality. Make sure to include the shading to indicate the solutions to the inequality.

Answer 1

See below

Explanation:

The given inequality is

`y\:>\:-5x+1`

The corresponding linear equation is y=-5x+1.

This line is of the form y=mx+b

The slope of this line is m=-5 and b=1 is the y-intercept.

Since the inequality sign is '>' the boundary line is a dashed line.

We test the origin to see if the inequality will be satisfied.

`0\:>\:-5(0)+1`

`0\:>\:1`

This statement is false so we shade above the dashed line.

The graph of the inequality is shown in the attachment.