Find the equation of the line that is perpendicular to y = 2x + 8 and passes though the point (8, –8).
A) y =
1
2
x – 4
B) y = –
1
2
x – 4
C) y = 2x + 12
D) y = –2x + 12

Option B: is the equation of the line.

Explanation:

Given that the equation of the line is perpendicular to and passes through the point

We need to determine the equation of the line.

The equation of the line can be determined using the formula,

First, we shall find the value of m.

From the equation , the slope is 2.

Since, the lines are perpendicular, the slope is given by

Thus, the slope is

Substituting the slope and the point in the formula , we get,

Simplifying, we get,

Subtracting both sides by 8, we get,

Thus, the equation of the line is

Therefore, Option B is the correct answer.

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step-by-step explanation:

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