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Chapter 3 Discovery 1 y-Intercepts Graph each linear equation and label the y-intercept. 1. y x 5 2. y x 5 3. y x 10 4. y x 10 Write a rule for determining the y-coordinate of the y-intercept of a graph from its linear equation. Determining Slope from a Linear Equation Chapter 3 Discovery 2 1. Graph the given linear equations in two variables, and label two integer coordinate points. a. y 2 x 4 b. y 2 x 1 c. y x 5 2 2. Determine the slope of each of the proceeding lines. 3. Determine the coefficient of the x-term in each of the equations in part 1. Write a rule for determining the slope of the graph from a linear equation in two variables. Chapter 3 Discovery 3 Graphing a “Less than or Equal to” Linear Inequality in Two Variables Graph the line determined by the equation y 2 x 4. 1. Use Trace to determine the coordinates of points on the line. a. List two of these ordered pairs. b. Are the ordered pairs solutions of the inequality y 2 x 4? 2. Clear the trace, and use the free-moving cursor (arrow keys) to determine ordered pairs above the line. a. List two of these ordered pairs. b. Are the ordered pairs solutions of the inequality y 2 x 4? 3. Now use the free-moving cursor (arrow keys) to determine ordered pairs below the line. a. List two of these ordered pairs. b. Are the ordered pairs solutions of the inequality y 2 x 4? Write a rule for graphing a “less than or equal to” linear inequality.