Question

Which of the following options correctly converts the inequality 2x + 5y > 35 from standard form to slope-intercept form?

A) y > -2/5x + 7
B) y > -2/5x - 7
C) y > 2/5x + 7
D) y > 2/5x - 7

Answer 1

To convert the inequality 2x + 5y > 35 from standard form to slope-intercept form, subtract 2x from both sides and divide each term by 5.

Step-by-step explanation:

The standard form of a linear inequality is Ax + By > C, where A, B, and C are constants. To convert this to slope-intercept form, we need to solve for y.

So, let's convert the given inequality 2x + 5y > 35 into the slope-intercept form.

Step 1: Subtract 2x from both sides: 5y > -2x + 35.

Step 2: Divide each term by 5: y > -2/5x + 7.

Therefore, the correct option is A) y > -2/5x + 7.