Question

Write line equation that is perpendicular to the given line and that passes through the given point.
4x-12y=2; (10,-1)

Answer 1

what's the slope of 4x-12y=2?

Answer 2

How would I go about figuring that?

Answer 3

solve for "y"

Answer 4

1/3?

Answer 5

yes, 1/3 sorry I was a bit away

a line perpendicular to that will have a NEGATIVE RECIPROCAL slope to that
what does that mean?

RECIPROCAL OF 1/3
3/1
NEGATIVE OF THAT
-3

then using the point-slope form \(\bf y-y_1=m(x-x_1)\)
plug those values in
m = slope = -3
\(\bf (x_1, y_1) = (10, -1)\)