to find the slope of the line 2y = 2x - 4, you have to isolate y, as follows:
[tex]\begin{gathered} 2y=2x-4 \\ y=\frac{2x-4}{2} \\ y=\frac{2x}{2}-\frac{4}{2} \\ y=x-2 \end{gathered}[/tex]the slope is 1.
Two lines are parallel if they have the same slope.
slope-intercept form:
y = mx + b
where m is the slope and b is the y-intercept.
Replacing with m = 1 and point (-5, -1) into the equation, we get:
-1 = 1(-5) + b
-1 = -5 + b
-1 + 5 = b
4 = b
Then, the equation is:
y = x + 4
