Question

Write the following inequality in slope-intercept form. 6x + 2y ≤ –46

A. y ≤ –3x + 23

B. y ≤ –3x – 23

C. y ≥ –3x – 23

D. y ≥ –3x + 23

Answer 1

6x + 2y ≤ –46
2y ≤ -6x - 46
y ≤ -3x - 23

answer is B. y ≤ –3x – 23

Answer 2

ANSWER


`y \leqslant - 3x - 23`

Step-by-step explanation

The given inequality is


`6x + 2y \leqslant - 46`
The slope intercept form of the given inequality is given by,


`y \leqslant mx + c`

Where m is the slope and c is the y-intercept of the corresponding linear equation.

So we make y the subject of the given inequality to obtain,


`2y \leqslant - 6x - 46`

We now divide through by 2 to get,


`y \leqslant - 3x - 23`

Therefore the correct answer is option B