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