How do you write an equation of a line through the points (2,5) and (6,13) in standard form?

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How do you write an equation of a line through the points (2,5) and (6,13) in standard form?

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Answer 1 · 2015-05-07T19:52:55

In general, given two points #(x_1,y_1)# and #(x_2,y_2)# we can equate two expressions for the slope, one involving variables #x# ans #y# and one determined solely by the given points:

#(y-5)/(x-5) = (13-5)/(6-2)#

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

#y-5 = 2x -10#

Standard form for a line equation is
#Ax+By = C#

So we re-write our equation as
#2x-y = 5#

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How do you write an equation of a line through the points (2,5) and (6,13) in standard form?

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