Question

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

Answer 1

A horizontal line through `y = -5/3`

Explanation:

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

`3y = -5`

`y = -5/3 rArr y = 0x -5/3`

There is no x-term which means that the slope is zero. This is a horizontal line. The y-intercept is `-5/3`