Question

What is an equation in point slope form for the line perpendicular to y=2×+13 that contains (8,-4)?

Answer 1

Perpendicular lines have opposite, reciprocal slopes. I'll show you 2 ways to solve.

y - (-4) = (-1/2)(x - 8)
y + 4 = (-1/2)x + 4
y = (-1/2)x

orrrr...

-4 = (-1/2)(8) + b
-4 = -4 + b
b = 0

Well, we don't write "+ 0" because that's just extra work.

y = (-1/2)x

Note if you see an equation like this, know that b (our y-intercept) is 0. If you see something like y = 7, then the slope is 0, but 0 times our x-value would equal 0 and that's also unnecessary.

Please mark brainlest