Answer
Slope: $m=-\frac{2}{3}$
y-intercept: $(0,3)$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/43ae4be8-b889-449e-b092-c2ac078c6487/result_image/1561485976.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T021713Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=3f0116252705dc9709a9c32e9895d627ad4b7fdb734c98c3342de382833e8b42)
Work Step by Step
In a linear equation $y=mx+b$, $m$ is the slope and $(0,b)$ the y-intercept. That is, the y-intercept is the point on the line when $x=0$
$2x+3y=9$
$3y=-2x+9$
$y=\frac{-2}{3}x+\frac{9}{3}$
$y=-\frac{2}{3}x+3$
Slope: $m=-\frac{2}{3}$
y-intercept: $(0,3)$