1 Answer

Salhin · Answer 1 · 2019-04-16T21:09:01+0000

I find it simplest to convert to standard form, find the perpendicular, convert back.

y = -4x - 1

For standard form we move the x term to the left side:

4x + y = -1

The perpendiculars are given by swapping the x and y coefficients, negating one. The right side is directly determined by the point (-2,7):

x - 4y = -2 - 4(7) = -30

Solve for y for point slope form:

4y = x + 30

$y = \frac 1 4 x + (15)/(2)$

That's the answer.

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