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

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Question 178379This 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 josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+-%281%2F2%29%2Ax+%2B+4
When an equation has the form y+=+mx+%2B+b,
m is the slope. Any other equation that
has the form y+=+-%281%2Fm%29%2Ax+%2B+b will be
perpendicular to the 1st equation
In the given equation, m+=+-%281%2F2%29
A perpendicular equation will have m+=+-%28-%281%2F%281%2F2%29%29%29
-%28-%281%2F%281%2F2%29%29%29+=+2 answer
To prove it, I'll plot
y+=+-%281%2F2%29%2Ax+%2B+4 and
y+=+2x+-+3 (the -3 could be any signed number)
+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+-%281%2F2%29%2Ax+%2B+4%2C+2x+-+3%29+