Question

What is the slope and y-intercept of the

graph of the equation 3y + 2x = 9?
slope =
y intercept =

Answer 1

The slope would be -2/3
The y intercept would be 3
If you rewrote 3y+2x=9 then you would get y=-2/3x+3

Answer 2

m=-2/3 (slope)

b=3 (y-intercept)

Explanation:

Slope-intercept form is y=mx+b where the slope is m and the y-intercept is b.

You have 3y+2x=9.

We need to solve this for y to get it into y=mx+b form.

3y+2x=9

Subtract 2x on both sides:

3y =-2x+9

Divide both sides by 3:

`y=(-2)/(3)x+(9)/(3)`

`y=(-2)/(3)x+3`

Now compare this to:

y=mx+b

m=-2/3

b=3