Slope is a measure of how steep a line is. It is calculated by dividing the change in the y-coordinates by the change in the x-coordinates between two points on the line. When given a graph, finding the slope can help determine the rate at which one variable is changing with respect to another.
One way to find the slope from a graph is by identifying two points on the line. Then, use the formula: slope = (y2 – y1) / (x2 – x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. This worksheet provides practice problems to help students master this concept.
Finding Slope From A Graph Worksheet
Practice Problems
1. Find the slope of the line passing through the points (2, 3) and (5, 9).
To find the slope, substitute the coordinates into the formula: slope = (9 – 3) / (5 – 2) = 6 / 3 = 2.
2. Determine the slope of the line shown on the graph below:
Insert image of a graph with two points labeled, and guide students through calculating the slope using the given coordinates.
Conclusion
By practicing with worksheets that require finding slope from a graph, students can improve their understanding of this key concept in mathematics. These exercises help reinforce the relationship between the steepness of a line and the rate of change between two variables. With consistent practice, students can confidently identify and calculate slope from various graphs.