SOLUTION: Find the distance between the point A(4,8) to the line 6=y+2x .

Algebra ->  Points-lines-and-rays -> SOLUTION: Find the distance between the point A(4,8) to the line 6=y+2x .      Log On


   

Question 1168992: Find the distance between the point A(4,8) to the line 6=y+2x .
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Line containing A and perpendicular to 6=y+2x, intersects WHERE on 6=y+2x?
6=y%2B2x
y=-2x%2B6
slope of given line is -2. Line perpendicular is slope 1%2F2.

Look for y-8=%281%2F2%29%28x-4%29
y=x%2F2-2%2B8
y=x%2F2%2B6


Intersection Point of these two line?
system%28y=-2x%2B6%2Cand%2Cy=x%2F2%2B6%29
-2x%2B6=x%2F2%2B6
x=0andy=6

Use Distance Formula to find distance from (0,6) to (4,8).