SOLUTION: find the distance from (-6,-3) to the line defined by y=3x+5 .

Question 749603: find the distance from (-6,-3) to the line defined by y=3x+5 .
Answer by josgarithmetic(39623) (Show Source): You can put this solution on YOUR website!
A line containing (-6,-3) and is perpendicular to y=3x+5 also contains the point on both lines; this is the point closest to (-6,-3) on y=3x+5.

You want the line which contains (-6,-3).

b=-3+(1/3)(-6)
b=-3-2
.
The perpendicular line is

What is the intersection of with ?

Substituting this

.

That is the point (-3,-4). This is the point on BOTH lines, shortest distance on the y=3x+5 to (-6,-3).
How far is (-3,-4) from (-6,-3)?

Distance:

------------this is how far is y=3x+5 to (-6,-3).

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