Question

Choose the equation of the line passing through the point (3, -2) and parallel to y = 3x - 6.

y = 3x + 7

y = 3x - 11

y = -3x + 11

y = -3x - 12

Answer 1

Umm. parallel means equal slopes. OK? What is the slope of y = 3x - 6?

Answer 2

i have no clue

Answer 3

Well, let's start here. suppose
y = 2x
if x=1 y = ?
if x = 2 y = ?

Answer 4

y=2
y=4

Answer 5

Good! So y changed by 2 when x changed by 1. Do you see that?

Answer 6

yes

Answer 7

That 2 is the same 2 in y = 2x. It's the slope (change in y divided by change in x).

Answer 8

oh ok

Answer 9

Now which of your answers has a slope of 2?

Answer 10

OK it's the first two.

Answer 11

Now, what you have to do, you have to try possible answers in the original equation.

Answer 12

y = 3x + 7
if x = 3, y = ?

Answer 13

y = 3x - 11
if x = 3, y = ?

Answer 14

when i tried none of them equal two

Answer 15

had a slope of two

Answer 16

So for this part, you are just "plugging and chugging"
In the second one, if x = 3, y = -1. That matches what you are given. The slope matches (with 3) and the given (x,y) solve that equation, and none of the others.

Answer 17

sorry y = -2, to match

Answer 18

i still didnt get a slope of 2

Answer 19

My bad.
I just made up an example quickly above.
In your problem, the equation given at the top has slope 3.
After what we've said, do you see that?

Answer 20

yes

Answer 21

So only the first two can possibly be correct. Then by trying the x,y you are given, you find that only one is correct.

Answer 22

which is the second one