Question

A line passes through the points (-3,-4) and (6,2)

Answer 1

6x-9y-18=0

Step by step explanation:

The general equation of the line passing through the two points (x1,y1) and (x2,y2) is given by,

`(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)`

Here, x1= -3, y1= -4

x2= 6 , y2= 2

`(y - ( - 4))/(x - ( - 3)) = (2 - ( - 4))/(6 - ( - 3))`

`( y+ 4)/(x + 3) = (2 + 4)/(6 + 3)`

=> 9(y+4)= 6(x+3)

=> 9y+36=6x+18

=>6x+18-9y-36=0

=>6x-9y-18=0