Question 507558
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
.
{{{graph(500,500,-10,10,-10,10, 8*x-4,-1/8*x+6.5)}}}