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Mathematics 21 Online
OpenStudy (anonymous):

find the slope and y-intercept of f(x)=-5-9

OpenStudy (anonymous):

Is there supposed to be an x in the problem?

OpenStudy (anonymous):

let me make sure

OpenStudy (anonymous):

oh yes. f(x)=-5x-9. ty

OpenStudy (anonymous):

np. The slope is always the coefficient of the x term. The y-intercept occurs when x=0...if you plug 0 in for x, the entire x term goes away and you're lef twith the y-intercept. Note that to be correct, you will need to give the y-intercept as an ordered pair. It would be (0,?) where ? is the answer you get when plugging in x=0

OpenStudy (anonymous):

ok let me see if I get this correct. im not good with graphing. is it 0?

OpenStudy (anonymous):

Neither is 0. Look at the coefficient of the x term. That is, the number in front of the x. That is your slope. Now, because you're function is in the correct form (point-slope form of a line), you can just cover up the -5x to get the y-intercept value. Because when x=0, -5x=0. So what are you left with?

OpenStudy (anonymous):

ok is it slope is -5 and y is 9?

OpenStudy (anonymous):

Very close. The slope is correct, but the y-intercept is actually -9. The minus sign stays with it. As I was saying in the note, however, the y-intercept is really a coordinate pair. But it is always (0, b) where b is the -9 you found. So in actuality, the y-intercept is (0,-9) I think you've got it now :)

OpenStudy (anonymous):

yay so the slope is -5 and the y intercept is (0,-9)

OpenStudy (anonymous):

Quite right! ^_^

OpenStudy (anonymous):

thanks soo much

OpenStudy (anonymous):

you're very welcome.

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