# How do you find the slope and intercept of 18x + 4y = 112?

Apr 5, 2018

slope (m)=$- \frac{9}{2}$
intercept on x-axis=$\frac{56}{9}$
intercept on y-axis=$28$

#### Explanation:

$18 x + 4 y = 112$
$\frac{18 x}{112} + \frac{4 y}{112} = 1$
$\frac{\frac{x}{1}}{\frac{56}{9}} + \frac{y}{28} = 1$
intercept on x-axis=$\frac{56}{9}$
intercept on y-axis=$28$
now, $4 y = - 18 x + 112$
$y = - \frac{9}{2} x + 28$
so, slope (m)=$- \frac{9}{2}$