What is the slope and y-intercept of the equation 3(y − 2) + 6(x + 1) − 2 = 0? a. slope = -2, y-intercept = b. slope = 2, y-intercept = c. slope = -2, y-intercept = d. slope = 2, y-intercept = e. slope = -2, y-intercept =

The correct answer is that the slope is equal to -2 and the y-intercept is equal to 2/3.

To find this, follow the order of operations and solve for y.

3(y − 2) + 6(x + 1) − 2 = 0 > distribute

3y - 6 + 6x + 6 - 2 = 0 > combine like terms

3y + 6x - 2 = 0 > subtract 6x

3y - 2 = -6x > add 2

3y = -6x + 2 > divide by 3

y = -2x + 2/3

Now we can find the slope as the coefficient of x (-2) and the intercept as the constant (2/3)