(-1,-2) 3x - y = 5 in Slope-Intercept
Parallel Line

  y=3x+1

Step-by-step explanation:

1. Turn equation into slope intercept form by subtracting 3x on both sides

 3x-y=5

-3x  = -3x

2. And that gives -y=-3x+5

3. Multiply -1 on both sides to make y positive

(-1)(-y)= (-3x+5)(-1) and that gives y=3x-5

4. since lines are parallel we can use the same slope and the given point to find the other line

  a. plug in the slope first y=3x+b

  b. then plug in the point (-2)=3(-1) +b

  c. and that gives -2=-3+b

  d. add 3 on both sides to isolate and get the value of b

     -2+3=-3+3+b

  e. and that gives 1=b

5. Use this value of b and the same slope to make our new equation

y=3x+1