# How do you find the slope and y intercept to sketch 3y+5=0?

Aug 10, 2016

A horizontal line through $y = - \frac{5}{3}$

#### Explanation:

Write the equation in the form $y = m x + c$ because then we can read off the slope and the y-intercept immediately.

$3 y = - 5$

$y = - \frac{5}{3} \Rightarrow y = 0 x - \frac{5}{3}$

There is no x-term which means that the slope is zero. This is a horizontal line. The y-intercept is $- \frac{5}{3}$