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 ->  Equations -> 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 1189952: 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 MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Given:
h%28x%29=x%5E3+%2B1
the secant line passing through (-3, h%28-3%29) and (1, h%281%29)
find: the equation of the secant line
y=mx%2Bb

first find h%28-3%29 and h+%281%29
h%28-3%29=%28-3%29%5E3+%2B1
h%28-3%29=-26
h%281%29=%281%29%5E3+%2B1
h%281%29=+2

line passing through (-3, -26) and (1,+2)
find a slope
m=%282-%28-26%29%29%2F%281-%28-3%29%29
m=%282%2B26%29%2F%281%2B3%29
m=28%2F4
m=7

y=7x%2Bb.........use one point to calculate b
2=7%2A1%2Bb
b=2-7
b=-5

the equation of the secant line is:
y=7x-5