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

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

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

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

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

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

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

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

$9x-27=y-16$

$y=9x-27+16$

$y=9x-11$

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