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

User Egor
by
3.3k points

1 Answer

3 votes

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)

User Theodosia
by
3.9k points