# What is the slope of a line parallel to the line whose equation is 5x -2y = 11?

Apr 27, 2018

The slope of the given line and a line parallel to it is $\frac{5}{2}$.

#### Explanation:

Given:

$5 x - 2 y = 11$ is the standard form of a linear equation.

A line parallel to this line has the same slope. To determine the slope, solve for $y$ to change the equation to slope-intercept form:

$y = m x + b$,

where:

$m$ is the slope and $b$ is the y-intercept.

$5 x - 2 y = 11$

Subtract $5 x$ from both sides.

$- 2 y = - 5 x + 11$

Divide both sides by $- 2$.

$y = \frac{- 5}{- 2} x + \frac{11}{- 2}$

Simplify.

$y = \frac{5}{2} x - \frac{11}{2}$

The slope of the given line and a line parallel to it is $\frac{5}{2}$.