Question

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

Answer 1

Y equals Mx plus b - the equation

Answer 2

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