Find the distance between point (0.5, −1.4) and line 12x+5y+6=0.

Question

asked Mar 2, 2021 61.8k views

1 Answer

Theodosia · Answer 1 · 2021-03-07T07:52:42+0000

Answer: d =
(5)/(13)

Explanation:

The formula for finding distance between a point and a line is given as :

d =
$\frac{/Ax_(1)+By_(1)+C/}{\sqrt{(A)^(2)+(B)^(2)}}$

A = 12

B = 5

C = 6

x_(1) = 0.5

y_(1) = -1.4

Substituting the values into the formula :

d =
$\frac{/12(0.5)+5(-1.4)+6/}{\sqrt{(12)^(2)+(5)^(2)}}$

d =
(/6+(-7)+6/)/(√(144+25))

d =
(5)/(√(169))

d =
(5)/(13)