Question

Write the equation of the line that is parallel to the line y = 2x + 2 and passes through the point (5, 3).

Answer 1

If two line are parallel they have the same slope
The form y=mx+b gives the slope (m) and the y intercept (b).
The point (5,3) has a y intercept of +3.
y=mx +3
What is the slope, or m?

Answer 2

I got y = 2x − 7

Answer 3

Yep you're right, after putting it in point slope form you get
y-3 = 2(x1 -5)
y-3 = 2x -10
y = 2x -7