Question

Arthur is trying to find the equation of a perpendicular to y = '1 over 4 x + 4 in slope-intercept form that passes through the point (−2, 6). Which of the following equations will he use?
A. y − 6 = 1 over 4 (x − (−2))
B. y − (−2) = 1 over 4 (x − 6)
C. y − 6 = −4(x − (−2))
D. y − (−2) = −4(x − 6)

Answer 1

@jim_thompson5910

Answer 2

the given slope is 1/4

what's the perpendicular slope?

Answer 3

I'm not sure.

Answer 4

flip the fraction: 1/4 ----> 4/1 = 4

flip the sign: 4 ----> -4

Answer 5

original slope: +1/4
perpendicular slope: -4/1 or -4

Answer 6

does that seem familiar from the lesson?

Answer 7

Yes.

Answer 8

so m = -4

Answer 9

the given point is (x1,y1) = (-2,6)

Answer 10

so we plug these values into the point slope equation

\[\Large y - y_1 = m(x-x_1)\]
\[\Large y - 6 = -4(x-(-2))\]

Answer 11

So is it D?

Answer 12

we could keep going but we can stop here because there is an answer choice that has this

Answer 13

I can't tell if it's B or D.

Answer 14

look closely and compare what I have with the choices

Answer 15

hopefully you see how I got that

Answer 16

It seems like it's D, am I right?

Answer 17

you mixed up 2 terms. Look closer

Answer 18

So it's B?

Answer 19

it sounds like you're randomly guessing

Answer 20

like I said, look for the one that matches with

\[\Large y - 6 = -4(x-(-2))\]

Answer 21

Ohhh C....I'm sorry my internet wasn't working.

Answer 22

correct

Answer 23

Thank you. :)

Answer 24

you're welcome