SOLUTION: What is the slope of a line that is perpendicular to the graph of: y=-1/2x+4?

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Question 174830This question is from textbook
: What is the slope of a line that is perpendicular to the graph of: y=-1/2x+4?This question is from textbook

Answer by nerdybill(5404) About Me  (Show Source):
You can put this solution on YOUR website!
What is the slope of a line that is perpendicular to the graph of: y=-1/2x+4?
.
If two lines are perpendicular, their slopes are "negative reciprocals".
.
Looking at:
y=-1/2x+4
We see that the slope of this line is
-1/2
.
Let x be the slope of a line that is perpendicular
then
(-1/2)x = -1
x = (-1)(-2)
x = 2
.
Therefore, the slope of a line perpendicular to y=-1/2x+4 is
m = 2