Final answer:
To solve for y in the given equation, subtract 3x from both sides of the equation and then divide by 3. The resulting equation is in slope-intercept form, where the slope is -3 and the y-intercept is 10/3.
Step-by-step explanation:
The given equation is 3x + 3y = 10. To solve for y, we need to isolate it on one side of the equation. Subtracting 3x from both sides gives us 3y = 10 - 3x. Dividing both sides by 3, we get y = (10 - 3x) / 3. This is the equation of a line in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -3 and the y-intercept is 10/3.