Question

~~~~~~~~~~FAN AND MEDAL~~~~~~~~~~~~~~~~
Select the system of equations that corresponds to the given graph.
4x + 2y = 12
4x + 2y = 4
2x + 3y = 4
6x + 9y = 12
2x + 4y = 12
2x + y = 3
2x + 3y = 8
−x + y = −4

Answer 1

From the graph, you have that these two lines are prallel...two lines are parallel when they have the same slope.

So at the first system u have 4x + 2y = 12 slop=-a/b=-4/2=-2
4x + 2y = 4 slope=-a/b=-4/2=-2

The slopes are the same.

The second system 2x + 3y = 4 slope=-a/b=-2/3
6x + 9y = 12 slope=-a/b=-6/9=-2/3

The slopes are the same...

The other systems do not represent parallel lines so let's see which of the lines in which system has intercepts (0;2) (0;6) (1;0) (3;0)

The first system is 4x + 2y = 12 intercepts (0;6) (3;0)
4x + 2y = 4 intercepts (0;2) (1;0)
4x+2y=12 x-intercept,take y=0 and solve the equation for x,4x=12->x=12/4->x=3 (3:0)

y-intercept,take x=0 and solve for y,2y=12->y=12/2=6-> (0;6)
do the same with the second equation and you'll get (0;2) (1;0)
So this graph represents the first system.

Answer 2

This was the best explanation ever! Thank You !!

Answer 3

You're welcome! (:

Answer 4

Send me a message, if you need any more help!

Answer 5

Thank you I will! One question is this A? @connor_

Answer 6

Yeah.

Answer 7

Alright awesome