Final answer:
The slope of a line passing through the points (8, -3) and (-4, -12) is 3/4.
Step-by-step explanation:
To find the slope of a line that passes through two points, we can use the formula:
slope = (change in y) / (change in x)
Given the points L(8, -3) and M(-4, -12), the change in y = -12 - (-3) = -9 and the change in x = -4 - 8 = -12.
Therefore, the slope is:
slope = (-9) / (-12) = 3/4