Final answer:
The length of the horizontal leg in terms of x is x+3, which is derived from subtracting the x-coordinate of the first point from the x-coordinate of the second point on the horizontal line.
Step-by-step explanation:
The student has a mathematics question about finding the length of a leg of a triangle given its coordinates. The first point of the triangle is (-3,6), the second point has a y-coordinate of 6 and an x-coordinate greater than -3, and the third point has coordinates (x,y) where y>6. The horizontal leg can be determined by the difference in the x-coordinates of the two points on the horizontal line, which are (-3,6) and (x,6).
To find the length of the horizontal leg which lies along the y=6 line, we just subtract the x-coordinate of the first point from the x-coordinate of the second point:
Length = x - (-3) = x + 3
Therefore, the length of the horizontal leg in terms of x is x+3.