Question

which of the following is an equation of a line parallel to y=-x+1 passing through the point (4,1)?
A) x-y=-5
B)-x-y=5
C) x+y=-5
D)x+y=5

Answer 1

What is true of parallel lines about their slope?

Answer 2

They have the same slope?

Answer 3

Yes. We now know that our desired line is of the form \(y = -x + b\). Now, how can we find \(b\)?

Answer 4

By plugging in (4,1), so would the answer be D, then?

Answer 5

You've got it.

Answer 6

both c and d work, because both create a y=-x