Question

Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3).

y = 2x + 6

y = −x + 3

y = −x + 6

y = 2x + 3

Answer 1

NO answer.

Answer 2

a line that is perpendicular has a slope that can be found by taking the negative reciproal of the slope from the equation given.

m=2 \[\large m_{p}=-\frac{1}{m}\]\[\large m_{p}=-\frac{1}{2}\] your perpendicular slope is -1/2
Now use your points (6,3) into your slope-intercept form and solve for your y-intercept

\[\large y=mx+b\]\[\large 3=\left(-\frac12 \right)(6)+b\]\[\large 3 = -3+b\]\[\large b=6\] Now that we've fond our "b" and our slope of our perpendicular line,plug these two points back into slope intercept form.

\[\large m_{p}=-\frac12 \ , \ b=6\]\[\large y=mx+b\]

Answer 3

@Jhannybean Why bother?

Answer 4

so the person can learn how to find the perpendicular line and not just look for an answer?

Answer 5

oh okay I sort of get it now . Thank you very much @Jhannybean , so what 2 answer choican I choose from ?

Answer 6

What do you get when you plug in b and m that we've found into the equation?

Answer 7

It's either first choice or last choice right ?

Answer 8

So the anwser will be the last choice ? @Jhannybean

Answer 9

hm..

m=-1/2 and b =6

y=mx+b

y=(-1/2)x+6

Doesn't seem like any of the answer choices. Is this what you got when you plugged in the found values?

Answer 10

y = 2x + 2
slope for perpendicular line is - 1/2
y = -1/2x + b using points (6,3)
3 = -1/2(6) + b
3 = -3 + b
6 = b

y = -1/2x + 6

you got the same thing I got

Answer 11

So the answer choice will be either a or c right ?

Answer 12

Wrong input.
@justyou_22

Answer 13

You seem like you're just guessing, i asked you what you got when you input the values and you havent told me.

Answer 14

The same thing y'all got y = -1/2 + 6 ?!
But that's not an answer choice ??

Answer 15

@justyou_22 As I said in the first comment, no answer.

Answer 16

Exactly @justyou_22

Answer 17

Oh okay thank you guys (: