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Aileen03
Aileen03 Aileen03
  • 18-10-2016
  • Mathematics
Answered

Write and equation in standard form of the line that passes through (0,a) and (b,0) where a≠0 and b≠0.

Verified Answer :

CaptainBeyond
CaptainBeyond CaptainBeyond
  • 26-10-2016

y=mx+b
slope = rise/run = (0-a)/(b-0) = -a/b
y=(-a/b)x + B     (where B is the y-intercept, not b from the point (b,0)
Substitute one of the point into the equation to solve for B.
(0,a)→     a = (-a/b)0 + B
                a = B
So rewrite the equation to be:
y=(-a/b)x + a

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