# What is the slope and the y intercept of the line defined by the equation 3x-4y=5?

Dec 16, 2016

$y = \frac{3}{4} x - \frac{5}{4}$

#### Explanation:

The slope-intercept form of a linear equation is:

$\textcolor{red}{y = m x + b}$
Where $m$ is the slope and $b$ is the y-intercept value.

Therefore, we must solve this standard form linear equation for $y$ to obtain the slope-intercept form:

$3 x - 3 x - 4 y = - 3 x + 5$

$0 - 4 y = - 3 x + 5$

$- 4 y = - 3 x + 5$

$\frac{- 4 y}{-} 4 = \frac{- 3 x + 5}{-} 4$

$\frac{\cancel{- 4} y}{\cancel{- 4}} = \frac{- 3 x}{-} 4 + \frac{5}{-} 4$

$y = \frac{3}{4} x - \frac{5}{4}$