Solution:
First find the slope
[tex]Slope=\frac{y2-y1}{x2-x1}\\Slope=\frac{(-9)-(3)}{(1)-(-1)}\\Slope = \frac{-12}{2}\\Slope=-6\\[/tex]
Secondly, write the equation
[tex]y=m(x-xo)+yo\\y=-6(x-1)+(-9)\\y=-6x+6-9\\y=-6x-3[/tex]
Answer:
[tex]y=-6x-3[/tex]
Check:
[tex](-1,3)\\y=-6(-1)-3\\y=6-3\\y=3[/tex]
[tex](1,-9)\\y=-6(1)-3\\y=-6-3\\y=-9[/tex]
Hope this was helpful.
