What is the rate of change between these two points (-1,4) and (2,2)?
have a look at the previous post.
To find the rate of change between two points on a graph, we need to calculate the slope of the line connecting the two points. The slope, also known as the rate of change, represents how much the y-coordinate changes relative to the x-coordinate.
Here's how you can calculate the rate of change between the two points (-1,4) and (2,2):
1. Identify the x and y coordinates of each point:
Point 1: (-1,4) -> x1 = -1, y1 = 4
Point 2: (2,2) -> x2 = 2, y2 = 2
2. Use the slope formula:
The slope (m) is given by the formula: m = (y2 - y1) / (x2 - x1).
3. Plug in the values of x and y into the formula:
m = (2 - 4) / (2 - (-1))
4. Perform the calculations:
m = -2 / 3
Therefore, the rate of change or slope of the line between the two points (-1,4) and (2,2) is -2/3.