Question

Write the equation of the line that passes through the points left bracket, minus, 9, comma, 1, right bracket(−9,1) and left bracket, minus, 6, comma, minus, 1, right bracket(−6,−1). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

Answer 1

y = -2/3x - 5

Explanation:

(x, y) (- 9, 1) and (- 6, - 1)

slope (m) = (y-y)/(x-x)

= (- 1 - 1)/(-6 - - 9)

m = -2/3

point-slope form = y - y = m (x - x)

m = - 2/3, point: (-6, -1)

y - - 1= - 2/3(x - - 6)

y + 1 = - 2/3(x + 6)

y + 1 = -2/3x - 4

y = -2/3x - 4 - 1

y = - 2/3x - 5