# How do you write an equation in standard form for a line passing through (2, 2) and (6, 3)?

$y = \frac{x}{4} + \frac{3}{2}$
You use the rule of the function passing through two points $\left({x}_{1} , {y}_{1}\right) \left({x}_{2} , {y}_{2}\right)$:
$\frac{y - {y}_{1}}{{y}_{2} - {y}_{1}} = \frac{x - {x}_{1}}{{x}_{2} - {x}_{1}}$
$\frac{y - 2}{3 - 2} = \frac{x - 2}{6 - 2} \implies y - 2 = \frac{x}{4} - \frac{1}{2} \implies y = \frac{x}{4} + \frac{3}{2}$