Answer:
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,
[tex] \frac{y - y1}{x - x1} = \frac{y2 - y1}{x2 - x1} [/tex]
Here, x1= -3, y1= -4
x2= 6 , y2= 2
[tex] \frac{y - ( - 4)}{x - ( - 3)} = \frac{2 - ( - 4)}{6 - ( - 3)} [/tex]
[tex] \frac{ y+ 4}{x + 3} = \frac{2 + 4}{6 + 3} [/tex]
=> 9(y+4)= 6(x+3)
=> 9y+36=6x+18
=>6x+18-9y-36=0
=>6x-9y-18=0
