Parallel to y=2/3x+6 through (-3, 6)

y = (2/3) x + 8

Step-by-step explanation:

Parallel lines have the same slope. In the given equation, the slope is 2/3 so the slope of the parallel line will also be 2/3.

y = (2/3) x + ?

Plug in (-3, 6) for (x, y) in the equation.

6 = (2/3) (-3) + ?

6 = - 2 + ?

? = 8

Final equation: y = (2/3) x + 8