Question

which of the following is the equation of a line parallel to the line y=-x+1, passing through the point (4,1)

Answer 1

parallel lines means lines that have the same slope but do not lie on the same plane

Answer 2

so if you were given a y-intercept form equation of a line such as
y = 3x + 5

remember that the form
y = mx + b
the m is the slope
parallel lines have the same slope

Answer 3

meaning that your other line may be
y = 3x + 7 this time
which would have the same slope as y = 3x + 5

Answer 4

Refer to the Mathematica solution and plot attached.

Answer 5

I haven't touched math in two year...

Answer 6

Thank you:)

Answer 7

You are welcome.