Question

What is the equation in point slope form of the line that is parallel to the given line and passes through the point (4,1)

Answer 1

The slope will be the same, so we know the equation will be y=-2x+b. But there is a different b.

For x=4, y will be 1 because the point (4,1) is given.

So 1=-2*4 + b => b = 9

So the equation of our parallel line is y=-2x+9

If we subtract 1 from both sides, we get y-1 = -2x + 8
Then factor out -2 on the right hand side: y-1 = -2(x - 4)

That's answer A!