How do you write the equation of a line in point slope form if the line contains the points (–2, 3) and (–1, –2)?

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Answer 1 · 2014-10-24T01:53:45

The point slope formula is
#(y - y_1) = m (x - x_1)#
Where m = the slope calculated as #(y_2 - y_1)/(x_2 - x_1)#

#(x_1,y_1) (x_2,y_2)#
(-2 , 3) (-1 , -2)

m = #(-2 - 3)/(-1 - (-2))# = #(-5)/1# = m = -5

#(y - 3) = -5 (x - (-2))#

#y - 3 = -5(x + 2)#

#y - 3 = -5x - 10#

#y = -5x - 10 + 3#

#y = -5x - 7#