# How do you write an equation of a line with slope -5/6 and y-intercept 5?

Jun 14, 2017

The line is represented by the equation
$y = - \frac{5}{6} x + 5$

#### Explanation:

The general form of the equation for a line is
$y = m x + c$ (equation 1)

where $m$ is the slope or gradient of the line and $c$ is a constant
and represents the y-intercept

therefore for this equation
$y = m x + 5$ (equation 2)

The slope of line is $- \frac{5}{6}$ so substituting in these values
$6 = x \cdot - \frac{5}{6} + 5$ (equation 3)

or $y = - \frac{5}{6} x + 5$

graph{-5/6x +5 [-6.75, 13.25, -2.72, 7.28]}