Question

What is the equation of the line in standard form that passes through the point (1, 5) and is parallel to the line y = –3x – 3?

x + 3y = –6

x – 3y = 0

3x + y = 6

3x + y = 8

Answer 1

If it is parallel to the line then both lines have the same slope. So we know this much

y = -3x + b

All we need to do now is find the value of b.

Answer 2

To find b, insert the given point (1, 5) into the equation:

5 = -3(1) + b

Now simplify to find b

Answer 3

b=8

Answer 4

so is it 3x+y=8?