Final answer:
To put the equation 2x-2y = 14 into slope-intercept form, subtract 2x from both sides, then divide both sides by -2. The resulting equation is y = x - 7.
Step-by-step explanation:
To put the equation 2x-2y = 14 into slope-intercept form (y=mx+b), where m is the slope and b is the y-intercept, we need to isolate y on one side of the equation.
Start by subtracting 2x from both sides:
-2y = -2x + 14
Divide both sides by -2 to solve for y:
y = x - 7
Now the equation is in slope-intercept form, where the slope (m) is 1 and the y-intercept (b) is -7.