# What is the equation of the line that passes through the following points?: (2,3),(1,5),

Oct 20, 2015

$2 x + y - 7 = 0$

#### Explanation:

You can find the slope, $m$, of the line first.
$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$
So slope$= - 2$
Then you can find the equation; you can choose any point you like, I choose $\left(1 , 5\right)$.
The equation is given by;
$\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$
$\left(y - 5\right) = - 2 \left(x - 1\right)$
$y - 5 = - 2 x + 2$
SO the equation is $2 x + y - 7 = 0$