Question

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

y = -1/3x - 6

y = -1/3x - 14

y = 3x - 6

y = 3x - 14

Answer 1

First rearrange the equation:

3x - y = -3

Subtract 3x to both sides:

-y = -3x - 3

Multiply -1 to all terms:

y = 3x + 3

Okay, so now our equation is in the form of y = mx + b, where m = slope and b = y-intercept.

y = mx + b

y = 3x + 3

Therefore, the slope of this equation is 3, and the y-intercept is also 3.

That already eliminates the first two choices.

Answer 2

https://www.desmos.com/calculator This shall help for future questions.

Answer 3

Now to find the answer, plug in (4, -2) into the last two equations and see which one fits:

y = 3x - 6

-2 = 3(4) - 6

Multiply:

-2 = 12 - 6

Subtract:

-2 = 6

(4, -2) does NOT fit in the equation y = 3x - 6.

y = 3x - 14

-2 = 3(4) - 14

Multiply:

-2 = 12 - 14

Can you subtract that?

Answer 4

@xxbeautifultragedyxx

Answer 5

wait didn't you just subtract that? -2=12-14

Answer 6

Yes.

Subtract 12 - 14, what do you get?

Answer 7

-2

Answer 8

Yes!

So you get -2 = -2, and that's true.

And since (4, -2) fits in the equation y = 3x - 14, it is the answer.

Answer 9

Thank you! could you help me with 1 more?

Answer 10

Sure thing, just tag me.