What is the equation in point slope form of the line passing through (4,0) and (2,6)

To answer this question, we first need to find the slope. We can do this using the equation (y2 - y1)/(x2 - x1) and substitute in our coordinates. This would give:
(6 - 0)/(2 - 4) = 6/-2 = -3

Now we know that the x term is -3, we need to find the y-intercept. To do this, we simply substitute our coordinates into y = mx + c, along with our x term:

6 = (2 × -3) + c
6 = -6 + c
+ 6
12 = c

So your final answer is y = -3x + 12, which would be the third option of y = -3(x - 4)

I hope this helps! Let me know if you want any further explanation :)