Answer:
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
