What is the equation of the line between #(3,16)# and #(2,7)#?

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Answer 1 · 2016-04-20T12:22:01

#y=9x-11#

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#A=(3,16)#
#B=(2,7)#
#C=(x,y)#

#"All points on any line have the same slope"#

#"slope for the line segment of AC is:"#

#alpha=(y-A_y)/(x-A_x)" "alpha=(y-16)/(x-3)" "(1)#

#"slope for the line segment of AB is:"#

#alpha=(B_y-A_y)/(B_x-A_x)" "alpha=(7-16)/(2-3)#

#alpha=(-9)/(-1)" "alpha=9#

#9=(y-16)/(x-3)#

#9x-27=y-16#

#y=9x-27+16#

#y=9x-11#