Posted by Steve on Friday, December 27, 2013 at 5:05pm.
Find the distance from the point (3, 2) to the line y = 3x + 2.
Mathematics - Damon, Friday, December 27, 2013 at 5:56pm
Well, you can memorize a formula that Reiny knows or you can figure it out.
First sketch a graph
find the line perpendicular to the given line that passes through the given point.
the slope of the given line is 3
so the slope of our perpendicular line is -1/3
y = -x/3 + b is our perpendicular line but what is b?
put in (3,2)
2 = -3/3 + b
b = 3
y = -x/3 + 3
Now where do these lines cross?
y = -x/3 + 3
y = 3 x + 2
0 = - 10/3 x + 1
10 x = 3
x = 3/10
y = 9/10 + 20/10 = 29/10
d^2 = (3-3/10)^2 +( 2 - 29/10)^2
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