Find the equation of the line perpendicular to

Question

3 years ago

14

tle="-\frac{1}{2} x" alt="-\frac{1}{2} x" align="absmiddle" class="latex-formula"> and passing through the point (−6; 1).

2 answers:

Likurg_2 [28] · Answer 1 · 2022-10-29T19:51:45+03:00

5 0

The slope is 2x
Y-1=2(x+6)
Y=2x+13 is the answer

dsp73 · Answer 2 · 2022-10-29T21:34:21+03:00

⦿ Hi There! ⦿

Point-Slope form:

y-y1=m(x-x1)

y-1=m(x-(-6)

Perpendicular lines have slopes that are opposite reciprocals.

It means that if we have -1/2, we flop it over and make it positive.

So the slope of the new line is 2.

y-y1=m(x-x1)

y-1=2(x-(-6)

y-1=2(x+6)

y=1=2x+12

y=2x+12-1

Hope it helps!

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