SOLUTION: If a graph is a line that is perpendicular to the line g(x) = 8x − 4and contains the point (4, 6),determine the linear function

Algebra ->  Functions -> SOLUTION: If a graph is a line that is perpendicular to the line g(x) = 8x − 4and contains the point (4, 6),determine the linear function      Log On


   

Question 507558: If a graph is a line that is perpendicular to the line g(x) = 8x − 4and contains the point (4, 6),determine the linear function
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
We are given
g(x) = 8x -4
.
By inspection we know
slope = 8
y-intercept = -4
x-intercept = 1/2
.
A line perpendicular to this line will have slope = inverse reciprocal:
slope = -1/8
.
And you want this line to go through the point (4,6).
OK
.
We can define the linear function
.
y = -1/8x + b
.
To find 'b' we use the point (4,6)
.
y = mx+b
.
6 = -(1/8)*4 + b
.
6 = -1/2 + b
.
b = 6 1/2
.
y = -(1/8)x + 6 1/2
.
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