Find the equation of the line that is perpendicular to the graph of y=1/2x + 9 and passes through (8,-5)

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Find the equation of the line that is perpendicular to the graph of y=1/2x + 9 and passes through (8,-5)

Mathematics
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Hi --- I can help you with this. First of all, can you tell me what the slope of your line is? \[y = \frac 12x + 9\]
slope is 1/2
Good! Now, can you tell me what the slope of a *perpendicular* line would be?

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Other answers:

would it be the reciprocal?
Close. The *negative reciprocal". For example, a line of slope 5 would have perpendicular slope -1/5. As a second example, a line of slope -1/3 would have slope 3. So ... what's the slope of your perpendicular line?
You need to "flip" AND change the sign ...
-2?
Good! So now, you want the line with slope -2 that passes through the point (8,-5) . (If you've heard of point-slope form, that would be great to use right now! Or, you can certainly do it different ways...)
I got y = -2x + 11
That's what I got, too! Awesome!
Thank you!!! Really helped!
You're welcome! Have a great day...

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