Determine the slope and intercepts for the line 2x+3y=6

slope is - 2/3 and y-intercept is 2

Step-by-step explanation:

First, solve for y.

2x + 3y = 6 subtract 2x from both side

3y = 6 - 2x divide 3 on both side

y = (6 - 2x) / 3 simplify

y = 2 - (2/3) x rearrange the values

y = - (2/3) x + 2

The formula come in the general form of

y = mx + b

where m is the slope and b is the y-intercept.

y = mx + b

y = - (2/3) x + 2

in your case, m=-2/3 and b=2

so the slope is - 2/3 and y-intercept is 2