Final answer:
The value of p is -8.
Step-by-step explanation:
To find the value of p, we can use the point-slope form of a linear equation: y - y1 = m(x - x1), where (x1, y1) are the coordinates of the given point and m is the slope of the line. In this case, the slope is 1 and the given points are (-4, p) and (-5, -9). Plugging in these values, we get:
p - (-9) = 1*(-4 - (-5))
p + 9 = 1
p = 1 - 9
p = -8
Therefore, the value of p is -8.