Question

What is an equation of a line, in point-slope form, that passes through (1, −7) and has a slope of −23 ?

A) y−7=23(x−1)
B) y+7=23(x+1)
C) y−7=−23(x+1)
D) y+7=−23(x−1)

Answer 1

The equation a line is:

y - y1 = m(x - x1)

Substitute the slope and the coordinate.

y - (-7) = -23(x - 1)

y + 7 = -23(x - 1)

D) y + 7 = -23(x - 1) is the solution