What is the equation of the line passing through $(3,5), (5,17)$ ?

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Answer 1 · 2016-05-06T17:59:42

$y = 6x -13$

The formula for the slope of a line based upon two coordinate points is

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

For the coordinate points $(3,5) and (5,17)$
$x_1 = 3$
$x_2 = 5$
$y_1 = 5$
$y_2 = 17$

$m = (17-5)/(5-3)$

$m =12/2$

The slope is $m = 6$

The point slope formula would be written as
$y - y_1 = m( x - x_1)$

$m = 6$
$x_1 = 3$
$y_1=-5$

$y - 5 = 6 (x -3)$

$y - 5 = 6x - 18$

$y cancel(- 5) cancel(+ 5)= 6x -18 +5$

$y = 6x -13$

What is the equation of the line passing through (3,5), (5,17)(3,5), (5,17)?