Question

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

a. 5 / √5 , or appx 2.2

b. 6 / √7 , or appx 2.3

c. 5 / √2 , or appx 3.5

d. 10 / √3, or appx 5.8


Select one:


A. a

B. b

C. c

Answer 1

One for free. You show us one after...

Normal Form of line l?

l: points (-4,2) and (3,-5).

Slope: (-5-2)/(3-(-4)) = -7/7 = -1
Point-Slope: (y-2)=-1(x+4) ==> y - 2 = -x - 4
Standard Form: x + y = -2
Normal Form: x + y + 2 = 0

P: (1,2)

Distance: \(\dfrac{|(1) + (2) + 2|}{\sqrt{1^{2}+1^{2}}} = \dfrac{5}{\sqrt{2}}\) = 3.5355339

Okay, your turn!