
Parallel lines have the same slope. Remember, parallel lines never intersect. Lines with the same slope, but different y-intercepts will not intersect.
Now, we have the slope of the line and a point that it passes through.
We can use the Point-Slope Formula:

Remember, y1 is the y-coordinate of the point, m is the slope, and x1 is the x-coordinate.
Plug in the values:
y-(-8)=1(x-(-10)
y+8=1(x+10)
y+8=x+10
y=x+10-8
y=x+2

I hope it helps you!

