SOLUTION: Find the distance from P to l. Line l contains points (-4,2) and (3,-5). Point P has coordinates (1,2).

Algebra ->  Geometry-proofs -> SOLUTION: Find the distance from P to l. Line l contains points (-4,2) and (3,-5). Point P has coordinates (1,2).       Log On


   

Question 976708: Find the distance from P to l.
Line l contains points (-4,2) and (3,-5).
Point P has coordinates (1,2).
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
y=%28%282%2B5%29%2F%28-4-3%29%29x%2Bb
y=-x%2Bb, slope being negative one.
y=-x%2B%282%2B1%2A%28-4%29%29
highlight_green%28y=-x-2%29, your line for the first two given points.

The line perpendicular through P is y-2=1%28x-1%29
y=x-1%2B2
highlight_green%28y=x%2B1%29, the perpendicular line through P.

-x-2=x%2B1
-2x=1%2B2
2x=-3
x=-3%2F2
-
y=-3%2F2%2B1
y=-3%2F2%2B2%2F2
y=-1%2F2
-
Point on the first line where the perpendicular line intersects is ( -3/2, -1/2 ).

What is the distance between (1,2) and (-3/2,-1/2) ?
Use the Distance Formula.