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

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Answer 1 · 2016-03-10T16:23:35

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

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)#