Question

Choose the equation below that represents the line passing through the point (2, -5) with a slope of -3.

y = -3x - 13

y = -3x + 11

y = -3x + 13

y = -3x + 1

Answer 1

@Jhannybean

Answer 2

y - y1 = M(x - x1)
y - (-5) = -3(x - 2)
Simplify

Answer 3

y + 5 = -6x + 12

Answer 4

y = -6x -7 ?

Answer 5

?????
umm......
no
they give you already the slope, right?

Answer 6

yes

Answer 7

so you already have y=-3x+b

Answer 8

yes

Answer 9

they give you the point (2, -5) so you substitute it into the equation. Do you know how to do that?

Answer 10

ik of it but im not sure how to do it

Answer 11

ok
i'll show you

Answer 12

k

Answer 13

so you have
\[y=-3x+b\]
now you plug in the coordinates (2, -5). The equation changes to: \[-5=-3(2)+b\]
Now you're finding what b is. Does this help a bit?

Answer 14

Yes, Do i subtract -5?

Answer 15

No. You're trying to make each side balanced. First multiply -3 and 2. Try making both sides balanced.

Answer 16

-5 = -6x + b

Answer 17

Yes. Now divide both sides by -6.

Answer 18

To find b you have to single it out with a number on the opposite side of the equation.

Answer 19

-5/6 = x + b

Answer 20

You don't need the x since you substituted it.

Answer 21

what is equation looking like right now

Answer 22

you make it look like -5/6 = b

Answer 23

it's -5/-6=b

Answer 24

wait, there might be something wrong......

Answer 25

oh..... so we're back to the equation -5=-6+b

Answer 26

you add 6 to both sides since it's the inverse. I got confused because you put the x in front of the -6 before.

Answer 27

yes

Answer 28

y = -3x + 1

Answer 29

D?

Answer 30

Yes. Exactly. To check your answer just plug in the coordinates into the equation you got and see if it equals itself.

Answer 31

ok thanks

Answer 32

no problem