Question

Calculate the distance between the point (1,8) and the line l: -3x + y = -5.

Answer 1

u first

Answer 2

There could many distance .. do you want the shortest ?

Answer 3

Yes please!!

Answer 4

It's simple then, the distance is given by $$\huge|\small\frac{(-3)(1)+8+5}{\sqrt{(-3)^2+(1)^2}}\huge|\small =\sqrt{10}$$

Answer 5

If you want to understand why this holds : http://demonstrations.wolfram.com/ShortestDistanceBetweenAPointAndALineIn2D/