Question

PLEASE HELP I REALLY NEED TO UNDERSTAND THIS!!!!

Write the equation of the line that is parallel to the line 3x - y = -3 and passes through the point (4, -2).

y = - x - 6
y = 3x - 14
y = - x - 14
y = 3x - 6

Answer 1

Please help!!! && an explanation would be great!!

Answer 2

@shifuyanli

Answer 3

@Mehek14

Answer 4

first we change it into the original form y=mx+b

Answer 5

so it becomes -y = -3x -3
since y is negative we turn it into positive so the sign changes for all of them
y = 3x + 3

Answer 6

the slope has to be the same so look for answer with 3x but the y-int can be any number

Answer 7

we have 2 that could be the answer b or d

Answer 8

Oh okay, that makes sense...

Answer 9

so now we sub in the points
4, -2

Answer 10

I was thinking b but not sure

Answer 11

-2 = 3*4 - 14
3*4 = 12
-2 = 12 - 14
-2 = -2
it is B

Answer 12

remember parallel lines have same slope but differ y-int

Answer 13

so B is the answer

Answer 14

OHH okay that makes sense!!

Answer 15

Thanks so much!!!

Answer 16

yw
if you have 2 answer choices that are alike, just sub the points

Answer 17

Okay, thank you! I will keep this in mind, :)

Answer 18

One other question? @Mehek14 :/
How would I do it if instead of parallel it was perpendicular?

Answer 19

the slope would be the reciprocal
since the parallel slope is 3x
for perpendicular it would be \(\dfrac{1}{3}x\)

Answer 20

Thank you so much for all ya help!!