Question

The graph for the equation y = x minus 4 is shown below.
https://media.edgenuity.com/evresources/3108-06-02/mc017-2.jpg
On a coordinate plane, a line goes through (0, negative 4) and (4, 0).

Which equation, when graphed with the given equation, will form a system that has an infinite number of solutions?
A. y minus x = negative 4
B. y minus x = negative 2
C. y minus 4 = x
D. y + 4 x = 1

Answer 1

Will give medals!!!

Answer 2

Any help

Answer 3

For it to have infinite solutions, it needs to be the same equation

Answer 4

@minustempo what happened earlier?

Answer 5

That's the only way it'll overlap and have an infinite number of solutions.

Re-arrange your equation and see which one matches your answer choices

y = x - 4

Answer 6

I do not understand anything you just said but thanks for your help

Answer 7

If a system has one solution, the two lines need to intersect at one point.
If it has no solutions, the two lines would be parallel and do not cross at all

For it to have an infinite number of solutions, the equations will be the exact same

Answer 8

All you need to do is re-arrange the equation they gave you

y = x - 4

What happens if you subtract x on both sides?

Answer 9

how do you subtract x from both sides? Do I need to find x first?

Answer 10

wouldn't x be 0 and y = -4

Answer 11

If x is 0 then y will be -4

You do not need to find x to just move it to the other side

Answer 12

Subtract x on both sides,

y = x - 4

y - x = x - 4 - x

Can you simplify the right side now?

Answer 13

I get -4 = -4

Answer 14

What happened to the y and the x?

Answer 15

y = −4 + x

Answer 16

That is still the same equation but can you subtract x on both sides?

Just think of x as an unknown number but we just want it on the other side. And to move it to the other side, you have to subtract