Which of the following are the x and y intercepts of the equation 4x - 2y = 8?
A.(3, 0) and (0, 4)
B.(2, 0) and (0, 4)
C.(-2, 0) and (0, -4)
D.(2, 0) and (0, -4)
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OpenStudy (anonymous):
okay well the first thing to do is to put the equation in slope intercept form :)...\[y=mx+b\]
OpenStudy (anonymous):
Okay...
OpenStudy (anonymous):
so solve 4x-2y=8 for y :)
OpenStudy (anonymous):
and tell me what you get :D
OpenStudy (anonymous):
did you work it?
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OpenStudy (anonymous):
y=2x-4
OpenStudy (anonymous):
great! :) ...okay so in the equation y=mx+b what does b represent? :)
OpenStudy (anonymous):
I don't remember...
OpenStudy (anonymous):
it represent the y-intercept :)
OpenStudy (anonymous):
Ok
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OpenStudy (anonymous):
okay now look at this:
\[y=mx+b\]\[y=2x-4\]
so what's 'b' in y=2x-4? :)
OpenStudy (anonymous):
you still there??
OpenStudy (anonymous):
The 4?
OpenStudy (anonymous):
-4 :)
OpenStudy (anonymous):
so now you know your y intercept :D
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OpenStudy (anonymous):
y-intercept: -4
x-intercept: lets work this :)
OpenStudy (anonymous):
Alright
OpenStudy (anonymous):
so to find the x intercept....let 'y' be 0 in the equation 4x-2y=8 ...and then solve for x
OpenStudy (anonymous):
solve for x:\[4x-2y=8\]\[4x-2(0)=8\]solving: \[4x-0=8\]\[4x=8\]\[x=2\]
OpenStudy (anonymous):
so now....
y-intercept: (0,-4)
x-intercept: (2,0)
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OpenStudy (anonymous):
Did you get it? :D
OpenStudy (anonymous):
Thank you!
OpenStudy (anonymous):
your welcome...msg me if you have anymore questions :)