Answer:
[tex]\large\boxed{y=2x-5}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
Parallel lines have the same slope. Therefore if given line is
[tex]y=2x+2[/tex]
then the slope of our line is [tex]m=2[/tex].
We have the equation:
[tex]y=2x+b[/tex]
The line passes through (-1, -7). Put the coordinsted pf the point to the equation:
[tex]-7=2(-1)+b[/tex]
[tex]-7=-2+b[/tex] add 2 to both sides
[tex]-5=b\to b=-5[/tex]
Finally:
[tex]y=2x-5[/tex]
