Question

Which line is a graph of the equation: 2x + 5y = 10?



VHS_ALG_S1_07_L203_L303_LQ4_graphi.gif









A.

line a








B.

line b








C.

line c








D.

line d

Answer 1

http://static.k12.com/calms_media/media/213000_213500/213123/1/7c34fa0e2dcd286d023240417eb68498aae2b193/VHS_ALG_S1_07_L203_L303_LQ4_graphi.gif

Answer 2

@iambatman

Answer 3

@satellite73 plz help

Answer 4

Oh wow, now that's a messy looking graph :P, alright so you have the line: 2x + 5y = 10, do you know y=mx+b form? It's is the equation of a straight line.

Answer 5

sorry no

Answer 6

Well for these sorts of questions, one of the best ways to go onto see how the graph is by putting it into the form of y = mx+b where m is the slope, and b is the y - intercept (where the line crosses the y - axis)

Answer 7

So can you try solving for y?

Answer 8

you have to say x=0 right?

Answer 9

Nope, not this time, well you could find the intercepts, but I think it will be more helpful if you solve for y as it is and then graph it out.

Answer 10

I don't get how you do that

Answer 11

\[2x+5y=10\] try your best to "isolate y" meaning get it on its own, use what I told you earlier, using opposite operations and if you do something to one side you must also do it to the other.

Answer 12

so I minus 2 - 10?

Answer 13

subtract 2x from both sides

Answer 14

\[2x\color{red}{-2x}+5y=10\color{red}{-2x}\]

Answer 15

then I divide my answer by 5y?

Answer 16

Well we are solving for y, so just the 5 :)

Answer 17

And then it will be in y = mx+b form (equation of a straight line)

Answer 18

y=1.6

Answer 19

\[5y = -2x+10 \implies y = \frac{ -2x+10 }{ 5 } \implies y = \frac{ -2 }{ 5 }x+2\] so it will look sort of like this

Answer 20

because the x tells us how far along we should go, and y tells us how far up, I hope all of this makes sense, if not just ask!

Answer 21

so the answer is D?

Answer 22

Not quite

Answer 23

wait sorry no it would be B, right?

Answer 24

Yup!

Answer 25

ok one more plz I will start a new one