Answer: [tex]y = -3x - 10[/tex]
Step-by-step explanation:
You can substitute the value "-3" for x and "-1" for y in each of the equations given. Whichever equation is correct when simplified is the line that the point (-3, -1) lies on:
[tex]-1 = -4(-3)-6\\\\-1=3(-3)+9\\\\-1=-3(-3)-10\\\\-1=5(-3)-1[/tex]
Simplifying the right side of each equation:
First equation: -1 = 6
Second equation: -1 = 0
Third equation: -1 = -1
Fourth equation: -1 = -16
The correct answer is "[tex]y = -3x - 10[/tex]".