Question

(i really need help with this!will give medals) solve the system by graphing:
{-3x-y=-10
{4x-4y=8

my question here is how i get the coords for the 2 lines that intersect from the system above. i know the answer is the point where the two lines intersect, but how do i get the lines? please and thankyou in advance for help!

Answer 1

Solve by graphing? Well, what you CAN do is rearrange them in the form of a line: \(\sf \color{red}{y=mx+b} \)

Answer 2

graph them like that and see where the points interect.

Answer 3

alright thanks!

Answer 4

Or you can also use substitution method or elimination method to find the points.

Answer 5

you make this sound so much easier than it looks at the moment. haha, right now i just rearranged them into y=mx+b but im still confused as to pulling a line out of them. how would i use the substitution method for this? ive always been better at that

Answer 6

Well, you know that y=mx+b is a line, yes? And if you rearrange the first one, you should get y = -3x+10

Answer 7

okay so this is starting to make since now. but the -3x, what is that used for when directing the line? m is slope right?

Answer 8

That is your first line. Now, rearrange the second one y=x +2

Answer 9

Yes, m = slope = \(\frac{rise}{run}\)

Answer 10

alright then if you were to put the second one up would it have a slope of 1 and intersect the y axis at +2?

Answer 11

awesome! thanks so much, i'm pretty sure i get it now