SOLUTION: If a graph is a line that is perpendicular to the line g(x) = 2x − 2 and contains the point (7, 1), determine the linear function.

Algebra ->  Functions -> SOLUTION: If a graph is a line that is perpendicular to the line g(x) = 2x − 2 and contains the point (7, 1), determine the linear function.      Log On


   



Question 868075: If a graph is a line that is perpendicular to the line
g(x) = 2x − 2
and contains the point
(7, 1),
determine the linear function.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
g(x) has slope 2.
A perpendicular line to g(x) will have slope -(1/2).
The perpendicular line is like h%28x%29=-x%2F2%2Bb; and b is unknown.

h(x) is given to hold a point, (7,1).
h%28x%29%2Bx%2F2=b
b=1%2B7%2F2
b=2%2F2%2B7%2F2
b=9%2F2

The equation or FUNCTION for the requested line is h%28x%29=-x%2F2%2B9%2F2