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

[tex]y \leqslant - 3x - 23[/tex]

EXPLANATION

The given inequality is

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

[tex]y \leqslant mx + c[/tex]

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,

[tex]2y \leqslant - 6x - 46[/tex]

We now divide through by 2 to get,

[tex]y \leqslant - 3x - 23[/tex]

Therefore the correct answer is option B

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

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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