How do you write an equation in standard form for a line passing through (2,9) and (1,3)?

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How do you write an equation in standard form for a line passing through (2,9) and (1,3)?

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Answer 1 · 2015-05-04T16:59:57

Given two points #(x_1,y_1)# and #(x_2,y_2)#
The slope can be calculated as
#m= (y_1-y_2)/(x_1-x_2)#
For the points given #(2,9)# and #(1,3)#
this gives #m= 6#

We can then use this slope plus either one of the given points (I'm going to use #(1,3)# but it shouldn't make any difference)
to write the equation in slope-point form
#y-y_2 = m(x-x_2)#
or for our values
#y-3 = 6(x-1)#

Standard form for a line is
#Ax+By=C#
so we shift some values around to get

#(-6)x+(1)y = -3#

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How do you write an equation in standard form for a line passing through (2,9) and (1,3)?

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