# How do you find the line that passes through (4,3) and (5,8)?

Feb 22, 2016

$5 x - y = 23$

#### Explanation:

We can solve this equation using the 2 point general formula which is
$y - {y}_{1} = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} \left(x - {x}_{1}\right)$
where $\left({x}_{1} , {y}_{1}\right) = \left(4 , 3\right)$ and $\left({x}_{2} , {y}_{2}\right) = \left(5 , 8\right)$

So,
$y - 3 = \frac{8 - 3}{5 - 4} \left(x - 4\right)$

Solving this should be easy now)