How do you write the equation in point slope form given (-3,3) (3,1)?

1 Answer
Mar 10, 2016

The slope is m = -1/3
y - 3 = -1/3(x +3)

Explanation:

The formula for the slope of a line based upon two coordinate points is

m = (y_2-y_1)/(x_2-x_1)

For the coordinate points (-3,3) and (3,1)
x_1 = -3
x_2 = 3
y_1 = 3
y_2 = 1

m = (1-3)/(3-(-3))

m = -2/6

The slope is m = -1/3

The point slope formula would be written as
y - y_1 = m( x - x_1)

m = -1/3
x_1 = -3
x_2=3

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

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