SOLUTION: Explain how to write an equation for the line that contains the point (2,3) and is perpendicular to the graph of x-2y=2x

Question 528477: Explain how to write an equation for the line that contains the point (2,3) and is perpendicular to the graph of x-2y=2x
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
A line perpendicular to x-2y = 2x will have the inverse reciprocal slope.
So, get this equation into slope-intercept form.
x -2y = 2x
-2y = x
y = -(1/2)x
.
The perpendicular line will have slope of 2.
.
y = 2x +b
.
Use the point you want to go through to find 'b'.
.
3 = 2(2) + b
b = -1
.
y = 2x-1
.
In the following graph,
the red line is y = -1/2*x
the green line is y = 2x-1
.

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