Question

Select the system of equations that corresponds to the given graph.

Answer 1

a. 4x + y = 6
6x + 3y = 6
b. −3x + y = 2
4x + 2y = 4
c. 2x + y = 4
6x + 3y = 12
d. 4x + 2y = 6
6x + 3y = 12

Answer 2

They have the same slope, so what can you eliminate based on that?

Answer 3

Could you help step by step doing that?

Answer 4

@jcpd910

Answer 5

4x + y = 6
6x + 3y = 6

this is our first system. We need this is slope-intercept form, which is:
y = mx + b
where m is the slope and b is the y intercept.

Answer 6

So first, we solve the equations as if they were by themselves, because we have the graph as a reference.

Answer 7

4x + y = 6
We need to isolate y, which can be done by subtracting 4x from both sides.
y = -4x + 6

Answer 8

Our next equation:
6x + 3y = 6
3y = -6x - 6
y = -2x - 2

Answer 9

So, we have:
y = -4x + 6
and
y = -2x + 6

If m is our slope, and this is in point-slope form, do we have the same slope?

Answer 10

@katiebum479