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

Ay ≤ –3x + 23

By ≤ –3x – 23

Cy ≥ –3x – 23

Dy ≥ –3x + 23

Verified Answer :

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

answer is B. y ≤ –3x – 23

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ANSWER

\(y \leqslant - 3x - 23\)

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

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