Question

Write an equation of a line in point-slope form that has a slope of -2 and passes through (5, -1).

A. y + 1 = -2(x – 5)

B. y – 1 = -2(x – 5)

C. y – 5 = -2(x + 1)

D. y -5 = -2(x – 1)

Answer 1

A. y + 1 = -2(x – 5)

Explanation:

For a line with slope m through point (h, k), the equation is ...

y -k = m(x -h)

Fill in your values of m=-2, h=5, k=-1 and you have ...

y -(-1) = -2(x -5)

y +1 = -2(x -5) . . . . . . simplify. Matches selection A.