Answer:
The correct option is C
The equation is:
[tex]y=-5x-2[/tex]
Explanation:
Given the equation:
[tex]y=-5x-5[/tex]
Where the slope is -5 and y-intercept is -5.
An equation parallel to this have the same slope but different y-intercept. It is of the form:
[tex]y=-5x+b[/tex]
Given that it passes through (-1, 3), we have:
[tex]\begin{gathered} 3=-5(-1)+b \\ 3-5=b \\ b=-2 \end{gathered}[/tex]
The equation is therefore:
[tex]y=-5x-2[/tex]
