Question

Choose the system of equations which matches the following graph.

A. 5x − y = 7
2x − y = 0

B. 5x − y = 7
2x + y = 0

C. 5x + y = −7
2x + y = 0

D. 5x + y = −7
2x − y = 0

Answer 1

a good this to start with is rearranging the equations in y=mx+b form

Answer 2

If i knew how to do that.. :/

Answer 3

so set the equations equal to y for example
\[2x-y=0\rightarrow y=2x\]

Answer 4

once you do that you can use the formulas to find out how the graph will behave. I would first look to see the y intercepts for both lines. (remember follow the equation y=mx+b) b would be the y-intercept(or where the line crosses the y axis

Answer 5

D?

Answer 6

B seems to be the correct choice:

One of the lines passes through the origin and has a slope of -2, so its equation is y = -2x, which can be written as \[y + 2x = 0\]
The other line's slope or y-intercept is not easily obtained from the graph but you can get its equation by getting two points on it. it passes through (1, -2) and (2, 3) so its slope is \[m=\frac{3--2}{2-1}=5\]and hence its equation is\[y=5x +b\]plug in (1, -2) in it to get\[-2=5(1)+b\]which gives you \[b=-7\]hence the equation is\[y=5x-7\]which can be rewritten as \[5x-y=7\]Hence the answer is B

Answer 7

Not D unfortunately

Answer 8

yeah i was thinking A but now i see it differently with navk pointing it all out