Question

Write a point-slope form of an equation for a horizontal line that passes through (5, -9)

Answer 1

See below.

Explanation:

Point-slope form is y - y1 = m(x - x1) where m = slope and (x1,y1) is a point on the line.

Because the line is horizontal the slope m = 0 so the answer is:-

y - (-9) = 0(x - 5)

or y + 9 = 0(x - 5) which simplifies to:

y + 9 = 0

giving y = -9.