# How do you find the slope and intercept of 4x + 7y = 51?

Mar 28, 2016

Slope: (-4/7)
y-intercept: (51/7)

#### Explanation:

4x+7y=51
It is important to take the first equation, in standard form, and change it to slope-intercept form.
First subtract 4x from each side:
4x-4x+7y=-4x+51
7y=-4+51
Next, divide each side by 7 because you want to make the equation equal to y:
$\frac{7 y}{7}$=$\frac{- 4 x + 51}{7}$
y=$\left(- \frac{4}{7}\right)$x+$\left(\frac{51}{7}\right)$
Slope: $\left(- \frac{4}{7}\right)$
y-intercept: $\left(\frac{51}{7}\right)$