204k views
0 votes
The points (-4,p) and (-5,-9) fall on a line with a slope of 1 .What is value of p?

User Brad M
by
6.8k points

1 Answer

4 votes

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.

User SalmanShariati
by
8.5k points