Chapter 1, Problem 53A

To determine

To Describe: The way to determine the slope of a linear graph.

Explanation of Solution

Introduction:

Slope is calculated by the ratio of the vertical change versus the horizontal change in the values of the variables when plotted on a graph. Slope measures the relation between two variables. It can be positive, negative or zero.

Step 1- Consider two points on a line and note their co-ordinates.

Step 2-Determine the change in y co-ordinate of these two points.

Step 3-Determine the change in x co-ordinate for these two points.

Step 4-Divide the changeofy co-ordinates by the change in x co-ordinates.

  $\text{Slope}=\frac{\Delta y}{\Delta x}$

Conclusion:

Slope of a linear graph is the ratio of the change in the y-axis variable over the x-axis variable.