Question

Given points P(2,-1), Q(-4, 2), and M(5,3), find coordinates of a point K such that MK is perpendicular to PQ? Help Please !!

Answer 1

I didn't compute it, but here's what you can do. Suppose (a,b) is the point K. Find the line that goes through the points M and K and its slope. If MK _|_ PQ, then their line slopes are inverse proportional and anti simetric.

Answer 2

?

Answer 3

What don't you understand?

Answer 4

linear equation of PQ is (y-y1)/y2-y1)=(x-x1)/(x2-x1)
so it's y=(-1/2)x

if you wanna have a perpendicular line their slope must be negative and reverse m1*m2=-1

so the slope must be 2

if you have the slope and a point the linear equation is (y-y1)=m(x-x1)
so it's (y-2)=2(x-5)
so y=2x-7

Answer 5

but there aren't any line that goes through M and be perpendicular of PQ here

Answer 6

Thanks