SOLUTION: Find a formula for the linear function described below. The graph of  y=v(x) intersects the graph of u(x)=1+x^3 (x cubed)  at x=-2 and x=3. v(x)=

Algebra.Com
Question 1025893: Find a formula for the linear function described below.
The graph of  y=v(x) intersects the graph of u(x)=1+x^3 (x cubed)  at x=-2 and x=3.
v(x)=

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Find a formula for the linear function described below.
The graph of  y=v(x) intersects the graph of u(x)=1+x^3 (x cubed)  at x=-2 and x=3.
v(x)= ?
-----
Find the two points::
u(2) = 1+2^3 = 9
u(3) = 1+3^3 = 28
-----------------------
Linear form:: y = mx + b
Find "m" and "b"::
m = (28-9)/(3-2) = 19
----
Substitute and solve for "b"::
9 = 19*2 + b
b = -9
--------
v(x) = 19x - 9
----------------
Cheers,
Stan H.
----------------

RELATED QUESTIONS

Find a formula for the linear function described below. The graph of y=v(x) ... (answered by Fombitz)
Find a formula for the linear function q(x) whose graph intersects the graph of... (answered by josgarithmetic)
Find the equation for the following? 1) the linear function, f(x), with a slope of -30,... (answered by richwmiller)
Find the point of intersection of the lines   3 x − 6 y  (answered by Alan3354)
Find a possible formula for the quadratic function whose graph has x-intercepts 4 and 8... (answered by ankor@dixie-net.com)
The graph of a linear function intersects with the x axis at a point with an abscissa of... (answered by Alan3354)
g is a trigonometric function of the form g(x)=a sin(bx+c)+d. Below is the graph g(x).... (answered by greenestamps)
Find the point in the first quadrant at which the graph of the quadratic function f(x) = (answered by Fombitz)
Which of the following describes the graph of... (answered by Boreal)