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SeambergAyee
SeambergAyee SeambergAyee
  • 23-07-2016
  • Mathematics
Answered



What is the equation of the line, in slope-intercept form, that contains the points (−1, 4) and (2, −5)?

Verified Answer :

dalendrk
dalendrk dalendrk
  • 24-07-2016

\(The\ slope-point\ form:y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\The\ slope-intercept\ form:y=mx+b\\--------------------\\(-1;\ 4)\to x_1=-1\ and\ y_1=4\\(2;-5)\to x_2=2\ and\ y_2=-5\\\\m=\dfrac{-5-4}{2-(-1)}=\dfrac{-9}{3}=-3\\\\y-4=-3(x-(-1))\\y-4=-3x-3\\\\\boxed{y=-3x+1}\)

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