# How do you find the equation for the line passing through (2,1) with slope 5/2?

It is $y = \frac{5}{2} x - 4$

#### Explanation:

The formula for the line is $y = m \cdot x + b$ where $m = \frac{5}{2}$ hence

$y = \frac{5}{2} x + b$ since point (2,1) satisfies the equation

$1 = \frac{5}{2} \cdot 2 + b \implies b = - 4$ hence the line is

$y = \frac{5}{2} x - 4$