Which slope-intercept form equation is equivalent to the point-slope equation y-4=2/3 (3x+6)

1 answer

To convert the point-slope equation y - 4 = 2/3 (3x + 6) into slope-intercept form, we need to isolate y on one side of the equation.

First, distribute 2/3 to the terms in the parentheses:
y - 4 = 2/3 * 3x + 2/3 * 6
y - 4 = 2x + 4

Next, combine the constant terms:
y = 2x + 4 + 4
y = 2x + 8

Therefore, the slope-intercept form equation equivalent to the given point-slope equation is y = 2x + 8.