Question

Which of the following is the equation of a line parallel to the line 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

The correct answer is B

Explanation:

In order to find this equation, use the slope of -1 and the point given in point-slope form. Then solve for standard form.

y - y1 = m(x - x1)

y - 1 = -1(x - 4)

y - 1 = -x + 4

x + y - 1 = 4

x + y = 5