# How do you find the slope given 4x - 5y = -2?

Jul 17, 2015

The slope is $\frac{4}{5}$ .

#### Explanation:

$4 x - 5 y = - 2$

The given equation is in the standard form for a linear equation. To determine the slope, you need to solve the standard equation for $y$. This will give you the slope-intercept form for a linear equation, $y = m x + b$, where $m$ is the slope and $b$ is the y-intercept.

Solve $4 x - 5 y = - 2$ for $y$.

Subtract $4 x$ from both sides of the equation.

$- 5 y = - 4 x - 2$

Divide both sides by $- 5$.

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

The slope is 4/5#.