A trend line is a straight line that shows the overall direction of a data set. The slope of a trend line is the number that describes how much the line rises or falls for every one unit increase in the independent variable. In order to find the slope of a trend line, you need two data points that fall on the line.
What is the slope of a trend line?
A trend line is used to visualize the overall direction of a data set. The slope of the trend line tells you how much the dependent variable (usually represented by the y-axis on a graph) changes for each unit change in the independent variable (usually represented by the x-axis on a graph). In other words, it tells you how much y changes for each unit change in x. To calculate the slope of a trend line, you need two points that fit on the line. The formula for calculating slope is:
Slope = (y2-y1)/(x2-x1)
For example, if you have two points that fall on a trend line – (5, 80) and (7, 65) – you can calculate the slope as follows:
Slope = (80-65)/(7-5) = 15/2 = 7.5
How to calculate the slope of a trend line
One way to measure the steepness of a trend line is by calculating its slope. To do this, you need two points that the trend line passes through. The slope is calculated by finding the difference in y-values of the two points, and then dividing by the difference in x-values of the two points.
For example, if a trend line passes through the points (5,80) and (7,65), you would calculate the slope as follows:
Slope = (80-65)/(5-7)
Slope = 15/2
Slope = 7.5
There are many different types of trend lines that can be drawn on a graph, but the most common is the linear trend line. To find the slope of a linear trend line, you need to have two points that the line passes through. In this example, we will use the points (5, 80) and (7, 65).
To find the slope, we will use the formula:
slope = (y2 – y1) / (x2 – x1)
Plugging in our values, we get:
slope = (65 – 80) / (7 – 5)
slope = -15 / 2
slope = -7.5
The slope of the trend line that passes through the points 5 80 and 7 65 is 1 35