# How do you find the slope and the Y intercept: 14x+4y=24?

Oct 1, 2015

Slope: $\left(- \frac{7}{2}\right)$

y-intercept: $6$

#### Explanation:

Convert $14 x + 4 y = 24$ into "slope-intercept form"

$\textcolor{w h i t e}{\text{XXX}}$Subtract $14 x$ from both sides
$4 y = - 14 x + 24$

$\textcolor{w h i t e}{\text{XXX}}$Divide both sides by $4$
$y = - \frac{14}{4} x + \frac{24}{4}$

$\textcolor{w h i t e}{\text{XXX}}$Simplify
$y = - \frac{7}{2} x + 6$
$\textcolor{w h i t e}{\text{XXX}}$which is the slope intercept form with slope $= \left(- \frac{7}{2}\right)$ and y-intercept $= 6$