Question

i have to write the equation of a line that passes through (4,-2) and is parrallel to 2x-y=6. I know the answer but i am not sure how to go about actually getting the answer. Thanks

Answer 1

Ok so write the equation in sloep-intercept form.

Answer 2

ok, its -y=-2x+6

Answer 3

Which is...
y = 2x - 6 right?

Answer 4

oh ok ya

Answer 5

So, whenever you have a parallel line, the line you are trying to figure out has the same slope as the line you have.

Answer 6

ok, so the slope of both lines is 2/1, right?

Answer 7

Yes, now you know that y = mx + b, so let that be the line you are trying to figure out.
So, your line should look like..
y = mx + b
We know that m(The Slope) is already 2, so...
y = 2x + b
Now, just plug in your points to find out b...
Plugging (4,-2) into the equation...
-2 = 2(4) + b
Solve for b and plug it back into y = 2x + b, and your done
(BTW, b is the y-intercept)
If I helped, please medal me. Thanks!

Answer 8

Awesome! I just went through and did it like that and got the right answer for the first time!! Thanks you so much i have been trying to figure out how to do this for a while. You were a great help:)

Answer 9

lol, stupid question. This is my first time on here and i dont know how to "medal" you, how would one do that?

Answer 10

oh, by the looks of it, i already have. Thanks again :)