Final answer:
The equation that represents the original line y=-3x+6 translated 2 units down is y=-3x+4, as the slope remains -3 and the y-intercept becomes 4.
Step-by-step explanation:
To find which equation will represent the original line y=-3x+6 when it is translated 2 units down,
we need to adjust the y-intercept of the equation without changing the slope.
The original line has a slope of -3 and a y-intercept of 6.
By translating the line down by 2 units, the new y-intercept will be 6 - 2 = 4.
Therefore, the new equation that represents the translated line will be y = -3x + 4.