Key features of a linear graph

Master linear graphs! Understand slope, y-intercept, and x-intercept with this practice worksheet for algebra students.

1. Given the equation y = -2x + 2 , which of the following phrases best describes the characteristics of the equation.A. a line with a negative slope that crosses the x-axis at a negative valueB. a line with a negative slope that crosses the x-axis at a positive valueC. a line with a positive slope that crosses the x-axis at a negative valueD. a line with a positive slope that crosses the x-axis at a positive value 2. If y = 3 - 2x, what is the slope? 3 -3 -2 2 3. What is the slope and y-intercept of 4x - 3y = 8? 4. Use the graph to answer the following questions:a. What is the y-intercept? and what does it mean?b. What is the x- intercept? and what does it mean?c. Is the slope positive or negative? How do you know?d. What is the slope and what does it mean? 5. A line is represented by the equation y = 5x + 9. Which of the following statements about the line is TRUE? 6. Use the graph shown to answer the questions.a. Is the slope positive or negative? Explain how do you know.b. What is the y-intercept?c. What does the y-intercept mean for this scenario?d. What is the slope (rate of change)? and what does it mean?e. When will the tank be empty?