#### Question

Write an equation of the line perpendicular to the given line that contains P. P(4, 4); y = -2x - 8

#### Solution

Verified#### Step 1

1 of 5This is the given equation $y=-2x-8$. The slope is $m=-2$ When lines are perpendicular, the product of the slopes is $-2$. We see that slope for line perpendicular to the given is $m=\frac{1}{2}$. So, $\frac{1}{2}\cdot (-2)=-1$ We also know that the point is $P(4,4)$.

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