Answer:
The rate of change of the line that passes through the points is -2
Explanation:
The rate of change of a line is given by the slope, m of the line
slope, m = (change in y-coordinates) / (change in x-coordinates)
= (y - y1) / (x - x1)
Points on a plane are written as (x, y)
Where;
x = the value of the x-coordinate at that point
y = the value of the y-coordinate at that point
We are given two points
Point 1 = (5,-11)
Point 2 = (-9,17)
Which both corresponds to (x, y) and (x1, y1) respectively.
slope, m = (y - y1) / (x - x1)
m = (-11 - 17) / [5 - (-9)]
m = -28 / 14
m = -2
Therefore, the rate of change of the line that passes through the
points (5,-11) (-9,17) is the slope, m of the line and it is -2