Question

Which description best describes the solution to the following system of equations?

y = −one halfx + 9
y = x + 7

Lines y = −one halfx + 9 and y = x + 7 intersect the x-axis.
Lines y = −one halfx + 9 and y = x + 7 intersect the y-axis.
Line y = −one halfx + 9 intersects the origin.
Line y = −one halfx + 9 intersects line y = x + 7.

Answer 1

@Thebadyboy

Answer 2

Do the two function have the same y-intercept? If so, then they intersect ion is at the y-axis, if not then they don't intersect at the y-axis at all.

Do the two function have the same x-intercept? If so, then they intersection is at the x-axis, if not then they don't intersect at the x-axis at all.

Answer 3

i don't know @Zale101

Answer 4

If you have no idea what an origin mean, then take a look at this graph. Do you think the two lines are located at the origin (0,0)?
dw:1433462825582:dw|

Answer 5

no

Answer 6

so would it be C?

Answer 7

yes or no @Zale101

Answer 8

\(\Large y = −\frac{1}{2}x + 9\)
\(\Large y = x + 7\)

Does the functions intersect at (0,0) meaning do both of the equations has the input x=0 and y=0 as the output?
Plug x=0 and see what you get for y in both of the equations. Can you do that?

Answer 9

ugh this is so confusing

Answer 10

\(\large y = −\frac{1}{2}x + 9 \) what is y when x=0?


\(\large y = x + 7\) what is y when x=0?

Answer 11

8.5?!

Answer 12

\(\Large y = −\frac{1}{2}(0) + 9=?\)

\( \large y = (0) + 7=?\)

Answer 13

8.5 is incorrect

Answer 14

8.5 and 7

Answer 15

7 is correct for the second equation, but how did you get 8.5 for the first equation?

Answer 16

-1/2 +9

Answer 17

-1/2 times 0 is not -1/2 it is 0

Answer 18

oh so its 9 and 7

Answer 19

Yes

Answer 20

9 intercepts the x axis and 7 intercepts the y axis

Answer 21

correct?

Answer 22

so both of the equations have different y-intercept and it doesn't lie on the origin. None of them had y=0 when x=0, and they each had a different y-intercept. The first equation had (0,9) and the second equation had (0,7).

Answer 23

would it be D??

Answer 24

i think so