Question

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

a graph with two lines. Both lines pass through the points negative 2 comma 0 and 0 comma negative 4.

-2x - y = 4
2x + y = -2


-8x - 4y = 16
-4x - 2y = 8


x - 2y = 6
-2x + y = 4


2x + 3y = 6
3x + 2y = 4

Answer 1

I have a feeling its A

Answer 2

or c

Answer 3

that's one line, can you draw the 2nd line?

Answer 4

keep in mind that
\({\bf\text{Both lines pass through}} \text{ the points (-2, 0) and (0,-4)}\)

Answer 5

ok so what would the second line be?

Answer 6

what do you think?

Answer 7

how does it sound to you the 2nd line would be?

Answer 8

(2,0) and (-2,0)

Answer 9

\({\bf\text{Both lines pass through}} \text{ the points (-2, 0) and (0,-4)}\)

Answer 10

ok so..

Answer 11

its A

Answer 12

hehe, no

Answer 13

so if both lines pass through the same points, what does that mean?

Answer 14

if you're asked to draw a line on paper
then asked to draw a 2nd line on the same paper, over the same exact points the one before, what does that tell you?

Answer 15

there the same line

Answer 16

yes

Answer 17

and that's exactly right cause the graph is of two of the same equations

Answer 18

theyre the same line

Answer 19

which means, the equation for line 1
is EXACTLY the same equation for line 2

so in your system of equations there are 2 lines which are the same
but one is disguised by being multiplied by a number, like say

x + 2y = 5
2x + 4y = 10

the 2nd is the same as the 1st, just multiplied by 2

Answer 20

and where those are, that's the answer