Question

someone please help i have no idea how to do this!!
Choose the system of equations which matches the following graph.

a line includes points 0 comma 4 and 2 comma 3. A line includes points 0 comma 3 and 4 comma 1

x – 2y = 8
2x + 4y = 12

x – 2y = 8
2x – 4y = 12

x + 2y = 8
2x + 4y = 12

x + 2y = 8
2x – 4y = 12

Answer 1

Is this --> "A line includes points 0 comma 4 and 2 comma 3. A line includes points 0 comma 3 and 4 comma 1" a description of the graph that is not shown?

Answer 2

the graph is shown, yes

Answer 3

that s the description, yeah

Answer 4

please help me, im desperate! lol

Answer 5

Are the lines shown in the diagram parallel?

Answer 6

yes

Answer 7

I'm talking about these two lines which only you can see:
a line includes points 0 comma 4 and 2 comma 3. A line includes points 0 comma 3 and 4 comma 1

Answer 8

yes, theyre parallel

Answer 9

Of the options, the correct one would have to be parallel lines. Parallel lines have the same slope but different y-intercepts in this case.

Answer 10

so which of the options would it be?

Answer 11

We have to find the slopes.

Answer 12

how do i do that

Answer 13

For each pair, change to slope-intercept form of line.

For example the first pair of equations:

1)x – 2y = 8

2) x + 4y = 12

Answer 14

1) x – 2y = 8

x – 2y = 8
-2y = 8 - x
y = x - 4 --> slope 1, y-intercept -4

Answer 15

2) x + 4y = 12

4y = 12 - x

y = -(1/4) x + 3; slope -1/4 and y-intercept 3

Answer 16

The first pair of options is not the answer.

Answer 17

would it be the last answer?

Answer 18

I am thinking that the third of fourth option is the one.

Why do you think it is the last option?

Answer 19

On the last option, the slopes are not the same. Check.

Answer 20

The third option equations both have slope -1/2 and one has y-intercept 4 and the other 3. The third option is my choice for the correct answer.

Answer 21

What do you think?

Answer 22

okay, i understand why its not the last one, thank u so much for your help!

Answer 23

Glad to help.