Find the point on the line -3 x + 3 y + 5 =0 which is closest to the point ( -5, 2 ).

Question

jdoe0001 · Answer

hmm have you covered slopes yet?

anonymous · Answer

I know that f '(2) = (19e^6)/98. Then after I know I have to switch the slopes somehow to evaluate where they intersect but I'm getting wrong values. I get lost after this step.

freckles · Answer

you need to minimize the distance

freckles · Answer

that is differentiate the distance

freckles · Answer

solve -3x+3y=-5 for y

freckles · Answer

a point on -3x+3y=-5 is (x,y)
we are solve -3x+3y=-5 for y because we want to put our point (x,y) just in terms of one variable

anonymous · Answer

y=-5/3 - x. I got that, then Im supposed to flip the slope y = -1/x..?

freckles · Answer

is this a calculus question or not? I thought it was when I seen f' above
but now that I think about it your f' is really weird

freckles · Answer

aslo y=x-5/3 isn't it?

freckles · Answer

i must go for now