Final answer:
The equation 2x + 2y = 6, when converted to slope-intercept form, is y = -x + 3. This is found by isolating y and simplifying the equation.
Step-by-step explanation:
Converting to Slope-Intercept Form
To convert the given equation 2x + 2y = 6 to slope-intercept form, we must solve for y. The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. Following the steps to isolate y, we subtract 2x from both sides of the equation, yielding 2y = -2x + 6. Dividing through by 2 to solve for y, the equation simplifies to y = -x + 3, which matches the first answer choice.
Therefore, the correct conversion of 2x + 2y = 6 to slope-intercept form is y = -x + 3.