Answer:
p = 4
Explanation:
Since we're already given the slope and 3 coordinates, we can find p using the slope formula, which is given by:
m = (y2 - y1) / (x2 - x1), where:
- m is the slope,
- (x1. y1) is one point on the line,
- and (x2, y2) is another point on the line.
Thus, we can find the value of p by substituting -7/4 for m, (1, p) for (x1, y1), and (5, -3) for (x2, y2):
-7/4 = (-3 - p) / (5 - 1)
(-7/4 = (-3 - p) / 4) * 4
-28/4 = -3 - p
(-7 = -3 - p) + 3
(-4 = -p) / -1
4 = p
Therefore, the value of p is 4.