Answer:
To find the slope of the line that intersects the points (4, 3) and (6, 9), we can use the slope formula:
m = (y2 - y1) / (x2 - x1)
Where (x1, y1) = (4, 3) and (x2, y2) = (6, 9).
So, the slope is:
m = (9 - 3) / (6 - 4)
= 6 / 2
= 3
Therefore, the slope of the line in simplest form is 3.