Question

Which of the following is the inequality −18x + 2y ≥ −13 written in slope-intercept form?

Select one:
A. y ≥ - 6.5x - 9
B. y ≥ 7x - 10
C. y ≥ 9x − 6.5
D. y ≥ 10x - 7

Answer 1

Hey there! :)

We're simply just trying to convert "-18x + 2y ≥ -13" into slope-intercept form.

First, we need to know what slope-intercept form is.

Slope-intercept form is : y=mx+b , where m=slope and b=y-intercept.

In order to convert our given equation into slope-intercept form, we have to isolate "y."

We can do this by adding 18x to both sides.

2y ≥ 18x - 13

Then, divide both sides by 2.

2y ÷ 2 = (18x - 13) ÷ 2

Simplify.

y = 9x - 13/2

Convert -13/2 into a mixed fraction.

So, simply divide -13 by 2.

-13 ÷ 2 = -6.5

Plug in -6.5 into where -13/2 was.

y = 9x - 6.5

Therefore, your answer is C : y ≥ 9x - 6.5

~Hope I helped!~