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

so

y = -x/3 + b is our perpendicular line but what is b?

put in (3,2)

2 = -3/3 + b

b = 3

so

y = -x/3 + 3

Now where do these lines cross?

y = -x/3 + 3

y = 3 x + 2

------------- subtract

0 = - 10/3 x + 1

10 x = 3

x = 3/10

then

y = 9/10 + 20/10 = 29/10

so

d^2 = (3-3/10)^2 +( 2 - 29/10)^2

## Answer This Question

## Related Questions

- Math - A line 'l' intersects line 'm' at point A at 45 degree angle. B and C are...
- Physics - The drawing shows four point charges. The value of q is 2.4 µC, and ...
- geometry - a point F is at a certain distance from a line AB .Another point P is...
- calc - standard equation of circle concentric with X^2+Y^2-2X-8Y+1=0 and tangent...
- Math - How do you: Find the shortest distance, to two decimal places from the ...
- calculus - Consider line segments which are tangent to a point on the right half...
- Math - For the given point and line, find by projection the point on the line ...
- Physics repost - Posted by Mary on Monday, September 3, 2007 at 7:11pm. download...
- precalc - I;m not sure if i am doing this right...I keep getting a negative ...
- Algebra II - If the distance from the point (5,k) to the line 8x - 15y + 8 + 0 ...

More Related Questions