# How do you find the slope and y intercept for 5y – 2y + 9 = 0?

Apr 25, 2018

$\text{slope "=0," y-intercept } = - 3$

#### Explanation:

$\text{simplifying and rearranging}$

$\Rightarrow 3 y + 9 = 0 \leftarrow \textcolor{b l u e}{\text{subtract 9 from both sides}}$

$\Rightarrow 3 y = - 9 \Rightarrow y = \frac{- 9}{3} = - 3$

$y = - 3 \text{ is a special line in that it is horizontal and }$
$\text{parallel to the x-axis passing through all points in the plane}$
$\text{with a y-coordinate } = - 3$

$\text{since it is parallel to the x-axis the slope } = 0$

$\text{and y-intercept } = - 3$

$\text{the graph of "y=-3" is shown below}$
graph{(y-0.001x+3)=0 [-10, 10, -5, 5]}