## Intermediate Algebra (6th Edition)

$\text{slope: } -\dfrac{2}{7} \\\text{$y-$intercept: } \dfrac{3}{2}$
Using the properties of equality, the given equation, $4x+14y=21 ,$ is equivalent to \begin{array}{l} 14y=-4x+21 \\\\ y=-\dfrac{4}{14}x+\dfrac{21}{14} \\\\ y=-\dfrac{2}{7}x+\dfrac{3}{2} .\end{array} Using $y=mx+b$ (or the Slope-Intercept Form), where $m$ is the slope and $b$ is the $y-$intercept, then the equation above has the following characteristics: \begin{array}{l} \text{slope: } -\dfrac{2}{7} \\\text{$y-$intercept: } \dfrac{3}{2} .\end{array}