Question

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

Answer 1

Horizontal line at `y=-5/3`

Explanation:

Rearranging for `y`:

`3y + 5 = 0`

Subtract 5 from both sides:

`3y = -5`

Divide both sides by 3:

`y = -5/3`

The basic equation for a straight line is `y = mx + 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 = -5/3` and this is indeed the case.