Final answer:
The slope of the line passing through the points (3/4, 11) and (-1/2, -3) is 56/5.
Step-by-step explanation:
To find the slope of the line passing through the points (3/4, 11) and (-1/2, -3), we can use the formula:
m = (y2 - y1) / (x2 - x1)
Using the given points, the coordinates are:
Point 1: (3/4, 11)
Point 2: (-1/2, -3)
Substituting these values into the formula, we get:
m = (-3 - 11) / (-1/2 - 3/4)
Simplifying this expression, we have:
m = (-14) / (-2/4 - 3/4)
m = (-14) / (-5/4)
Dividing the numerator and denominator by -1/4, we get:
m = (-14) / (-5/4) * (-4/1)
m = 56/5
Therefore, the slope of the line passing through the given points is 56/5.