y-Coordinates

Worksheet Description

This worksheet provides practice in calculating the slope of a line and writing its equation. Each problem displays a graph with a straight line passing through two points with their coordinates provided. The task for the student is to calculate the slope of the line using the slope formula, (y₂ – y₁) / (x₂ – x₁), and then to write the equation of the line in slope-intercept form (y = mx + c), where m is the slope and c is the y-intercept. The worksheet includes four graphs, each with a different line for which the students must determine the slope and equation.

The worksheet is aimed at teaching students how to find the slope of a line from a graph and to express the line’s equation in slope-intercept form. It emphasizes the practical application of the slope formula, reinforcing the concept of “rise over run” as a measure of the steepness of a line. This exercise also helps students in identifying the y-intercept visually from the graph. By completing this worksheet, students gain a deeper understanding of linear functions and how to express them algebraically and graphically.