Answer:
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