Equation of secant line


by rocomath
Tags: equation, line, secant
rocomath
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#1
Jan28-08, 07:21 PM
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Wow, someone asked me this question and I'm stumped.

Find the equation of the secant line that contain [tex]P[0,f(0)][/tex] and [tex]Q[3,f(3)][/tex]

Am I given enough information to solve this?

[tex]m=\frac{f(x+h)-f(x)}{h}[/tex]

...

[tex]m_1=\frac{f(h)-f(0)}{h}[/tex]

[tex]m_2=\frac{f(3+h)-f(3)}{h}[/tex]

That doesn't really help me though, unless I'm not thinking hard enough!
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rock.freak667
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#2
Jan28-08, 07:24 PM
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Isn't a secant line just a straight line with those two points?

uhm....

[tex]m=\frac{f(3)-f(0)}{3-0}[/tex]


but the answer would be in terms of f(3) and f(0)
rocomath
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#3
Jan28-08, 07:25 PM
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Quote Quote by rock.freak667 View Post
Isn't a secant line just a straight line with those two points?
Yeah and I'm given 2 points and I need to find an equation that contains both. Hmm.

rocomath
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#4
Jan28-08, 07:27 PM
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Equation of secant line


Oh I think I got it now, haha. My brain finally kicked in.
rock.freak667
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#5
Jan28-08, 07:28 PM
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Quote Quote by rocophysics View Post
Oh I think I got it now, haha. My brain finally kicked in.
What was it? Finding the equation of a line given two points? Or was my brain malfunctioning as well?
rocomath
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#6
Jan28-08, 07:37 PM
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Quote Quote by rock.freak667 View Post
What was it? Finding the equation of a line given two points? Or was my brain malfunctioning as well?
Yeah, seems like the only thing to do.

[tex]m=\frac{f(3)-f(0)}{3}[/tex]

[tex]y-f(0)=\frac{f(3)-f(0)}{3}(x-0)[/tex]

Not sure what else to think of.
rock.freak667
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#7
Jan28-08, 07:41 PM
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I would hope that is all there is to it.


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