# Equation of secant line

by rocomath
Tags: equation, line, secant
 P: 1,755 Wow, someone asked me this question and I'm stumped. Find the equation of the secant line that contain $$P[0,f(0)]$$ and $$Q[3,f(3)]$$ Am I given enough information to solve this? $$m=\frac{f(x+h)-f(x)}{h}$$ ... $$m_1=\frac{f(h)-f(0)}{h}$$ $$m_2=\frac{f(3+h)-f(3)}{h}$$ That doesn't really help me though, unless I'm not thinking hard enough!
 HW Helper P: 6,206 Isn't a secant line just a straight line with those two points? uhm.... $$m=\frac{f(3)-f(0)}{3-0}$$ but the answer would be in terms of f(3) and f(0)
P: 1,755
 Quote by rock.freak667 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.

 P: 1,755 Equation of secant line Oh I think I got it now, haha. My brain finally kicked in.
HW Helper
P: 6,206
 Quote by rocophysics 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?
P: 1,755
 Quote by rock.freak667 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.

$$m=\frac{f(3)-f(0)}{3}$$

$$y-f(0)=\frac{f(3)-f(0)}{3}(x-0)$$

Not sure what else to think of.
 HW Helper P: 6,206 I would hope that is all there is to it.

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