What is the equation of the line between $(5,7)$ and $(9,14)$ ?

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Answer 1 · 2016-06-29T22:53:16

$y = 7/4x -7/4$

$4y = 7x- 7$

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 $(5,7) and (9,14)$
$x_1 = 5$
$x_2 = 9$
$y_1 = 7$
$y_2 = 14$

$m = (14-7)/(9-5)$

$m = 7/4$

The slope is $m = 7/4$

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

$m = 7/4$
$x_1 = 5$
$y_1=7$

$y -7 = 7/4 (x -5)$

$y - 7 = 7/4x -35/4$

$y cancel(- 7) cancel(+ 28/4) = 7/4x -35/4 +28/4$

$y = 7/4x -7/4$

$4y = 7x- 7$

What is the equation of the line between (5,7)(5,7) and (9,14)(9,14)?