What is the equation of the line between #(12,23)# and #(9,14)#?

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Answer 1 · 2018-06-05T17:02:57

#y=3x-13#

#(12,23) and (9,14)#

First use the definition of slope:

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

#m=(14-23)/(9-12) = 3#

Now use the point slope form of a line with either point:

#y-y_1=m(x-x_1)#

#y-23=3(x-12)#

This is a valid solution, if you like you can do the algebra to convert to slope intercept form:

#y=3x-13#

graph{y=3x-13 [-20.34, 19.66, -16.44, 3.56]}