Question

What is the equation of the line that passes through the points (6,-9 )and (3,-8)

Answer 1

y = (-1/3)x - 7

or

y + 8 = (-1/3)(x - 3)

Explanation:

First, find the slope (rise over run):

Δy / Δx = (-8 + 9) / (3 - 6) = 1 / -3 = -1/3

Then use one of the given points to put it into point-slope form:

y + 8 = (-1/3)(x - 3)

or optionally in slope-intercept form:

y = (-1/3)x - 7