Question

Will give medal o:

Match the equation with its graph.
-1/2x + 1/6y = 2/3

http://prntscr.com/2cnnqe
http://prntscr.com/2cnnv6
http://prntscr.com/2cno0d
http://prntscr.com/2cno48

Answer 1

Find the x and y intercepts of the equation. Then it will be easier to match it with the graph.
To find the y-intercept, set x = 0 and solve for y.
To find the x-intercept, set y = 0 and solve for x.

What is the y-intercept of -1/2x + 1/6y = 2/3 ?

Answer 2

y = .1
x = .3
??

Answer 3

@ranga

Answer 4

\[\frac{ x }{-2 }+\frac{ y }{6 }=\frac{ 2 }{3 }\]
\[\frac{ x }{-2 }*\frac{ 3 }{2 }+\frac{ y }{6 }*\frac{ 3 }{2 }=1\]
\[\frac{ x }{-\frac{ 4 }{3 }}+\frac{ y }{4 }=1\]
x intercept is \[\frac{ -4 }{3 }=-1.33...\]
y intercept is 4
now you can find.

Answer 5

So it would be this one? http://prntscr.com/2cnnqe

Answer 6

no x is negative.

Answer 7

Oh yeah, I didn't see that. Sorry. http://prntscr.com/2cno48 ?

Answer 8

Yes. x-intercept = -4/3 and y-intercept is 4 in that graph.

Answer 9

yes you are correct.

Answer 10

Thank you guys c: @ranga @surjithayer

Answer 11

yw