# How do you graph 3y+5=0?

Jul 14, 2016

Horizontal line at $y = - \frac{5}{3}$

#### Explanation:

Rearranging for $y$:

$3 y + 5 = 0$

Subtract 5 from both sides:

$3 y = - 5$

Divide both sides by 3:

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

The basic equation for a straight line is $y = m x + c$ but the value of y is a constant, it does not depend on the value of x! The only way this can be true is if the gradient (m) is zero. This implies that the graph will be a horizontal line at $y = - \frac{5}{3}$ and this is indeed the case.