2 years ago

Write an equation for the line that passes through the given point and is perpendicular to the graph of the given equation.

Mathematics

1 answer:

Nezavi [6.7K]2 years ago

3 0

Answer:

y + 2 = - 3/2(x - 4)

Step-by-step explanation:

<u>Given line:</u>

y + 4 = 2/3(x - 2)

It has a slope of 2/3.

<u>Perpendicular lines have negative-reciprocal slopes, so the perpendicular slope is:</u>

m = - 3/2

<u>Find its equation provided it passes through the point (4, - 2):</u>

y - (-2) = - 3/2(x - 4)
y + 2 = - 3/2(x - 4)

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