Write the equation of the line with the two given points (-12,14) . (6,-1)

Question

asked Feb 11, 2021 151k views

2 Answers

Birdasaur · Answer 1 · 2021-02-18T02:26:07+0000

Answer: 6y + 5x = 24

Explanation:

The formula for calculating equation of line with two points is given as :

(y-y_(1))/(x-x_(1)) =
(y_(2)-y_(1))/(x_(2)-x_(1))

x_(1) = -12

x_(2) = 6

y_(1) = 14

y_(2) = -1

substituting the values into the formula , we have

(y-14)/(x-(-12)) =
(-1-14)/(6-(-12))

(y-14)/(x+12) =
(-15)/(18)

(y-14)/(x+12) =
(-5)/(6)

cross multiplying , we have :

6(y - 14 ) = -5 ( x + 12 )

6y - 84 = -5x - 60

6y +5x = -60 + 84

6y + 5x = 24