What is the equation of the line between $(3,6)$ and $(2,7)$ ?

Question

1640 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-15T18:11:40

y = -1x +5#

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 $(-3,3) and (3,1)$
$x_1 = 3$
$x_2 = 2$
$y_1 = 6$
$y_2 = 7$

$m = (7-6)/(2-3)$

$m = -1/1$

The slope is $m = -1$

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

$m = -1$
$x_1 = 3$
$y_1=2$

$y - 2 = -1 (x -3)$

$y - 2 = -1x +3$

$y - 2 + 2= -1x +3 +2$

$y = -1x +5$

What is the equation of the line between (3,6)(3,6) and (2,7)(2,7)?