Determine the rate of change
(-2,3)
(2,-1)
The rate of change between the points (-2,3) and (2,-1) can be determined by finding the difference in the y-values divided by the difference in the x-values.
The difference in the y-values is: -1 - 3 = -4
The difference in the x-values is: 2 - (-2) = 4
Therefore, the rate of change is -4/4 = -1.
To determine the rate of change between two points, we can use the slope formula. The slope (rate of change) between two points (x1, y1) and (x2, y2) is given by:
Slope = (y2 - y1) / (x2 - x1)
Using the given points (-2, 3) and (2, -1), we can substitute the values into the formula:
Slope = (-1 - 3) / (2 - (-2))
= (-4) / (2 + 2)
= -4 / 4
= -1
Therefore, the rate of change (slope) between the two points is -1.
To determine the rate of change between two points, we need to find the difference in the y-values and the difference in the x-values.
Given the points (-2,3) and (2,-1), we can see that the x-values change from -2 to 2, a difference of 2 units. Similarly, the y-values change from 3 to -1, a difference of 4 units.
The rate of change is calculated by taking the difference in the y-values and dividing it by the difference in the x-values.
Rate of change = (change in y-values) / (change in x-values)
In this case, the rate of change = 4 / 2 = 2.
Therefore, the rate of change between the two points (-2,3) and (2,-1) is 2.