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

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Answer 1

Answer:

C. y ≥ 9x − 6.5

Step-by-step explanation:

$-18x+2y\geq-13\qquad\text{add}\ 18x\ \text{to both sides}\\\\-18x+18x+2y\geq18x-13\\\\2y\geq18x-13\qquad\text{divide both sides by 2}\\\\\dfrac{2y}{2}\geq\dfrac{18x}{2}-\dfrac{13}{2}\\\\\boxed{y\geq9x-6.5}$