ANSWER
[tex]y = - 2x - 5[/tex]
EXPLANATION
We can use any two points to determine the slope.
The line passes through;
(-3,1) and (-5,5).
The slope is given by
[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]
This implies that;
[tex]m = \frac{5 - 1}{ - 5 - - 3} [/tex]
[tex]m = \frac{4}{ - 2} = - 2[/tex]
We can now find the equation using the formula;
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y - 1 = - 2(x + 3)[/tex]
Expand:
[tex]y = - 2x -6 + 1[/tex]
[tex]y = - 2x - 5[/tex]
