SOLUTION: Given h(x)=x^3+1, find the equation of the secant line passing through (−3, h(−3)) and (1, h(1)). Write your answer in the form y=mx+b.

Algebra ->  Graphs -> SOLUTION: Given h(x)=x^3+1, find the equation of the secant line passing through (−3, h(−3)) and (1, h(1)). Write your answer in the form y=mx+b.       Log On


   



Question 1141791: Given h(x)=x^3+1, find the equation of the secant line passing through (−3, h(−3)) and (1, h(1)). Write your answer in the form y=mx+b.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+h%28x%29+=+x%5E3+%2B+1+
( -3, h(-3) )
+h%28-3%29+=+-27+%2B+1+
+h%28-3%29+=+-26+
( -3,-26)
and
( 1,h(1) )
+h%281%29+=+1+%2B+1+
+h%281%29+=+2+
( 1,2 )
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Use point-slope formula

+%28+y+%2B+26+%29+%2F+%28+x+%2B+3+%29+=+28%2F4+
+%28+y+%2B+26+%29+%2F+%28+x+%2B+3+%29+=+7+
+y+%2B+26+=+7%2A%28+x+%2B+3+%29+
+y+=+7x+%2B+21+-+26+
+y+=+7x+-+5+
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Get a 2nd opinion if needed