Name: ______________________________________Date:__________________ Benchmark 3 Review 1. Find the slope of the line. 6. What is the slope of a line parallel to 2x + 3y = 6? What is the slope of a line perpendicular to the same line? 7. Write the equation of the graph in slopeintercept form. Write the equation of the graph in slopeintercept form. 2. Find the slope of the line passing through the points (4, -2) and (4, 3). Write the equation of the graph in slopeintercept form. 3. Find the slope of the line passing through the points (2, 10) and (8, 7). 4. Write an equation for a vertical line and give its slope. ___________________ slope____________ Write an equation for a horizontal line and give its slope. ____________________slope____________ 8. Write an equation with the given slope and y-intercept. Slope = 2/3 y-intercept = -4 5. Find the slope and y-intercept of the line with the given equation. ____________________________________ 5x + 10y = -40 Name: ______________________________________Date:__________________ 9. Write an equation that is perpendicular to the given line and passes through the given point. Y = 3x + ½ ; (0, -4) 10. Does the ordered pair (5, 6) satisfy the system of linear equations? 4x + 4y = 40 X – 4y = -15 11. Solve the system of equations by graphing. 13. John had 8 coins that were dimes and quarters. Their value was $1.75. Write a system of equations to solve the problem of how many of each he had. Y = 3x + 3 3x + y = 3 14. Solve the system using the substitution method. 3x – y = -6 X + 6y = -21 _______________________ 12. Solve the system of equations by graphing. 5x + y = -3 10x + 2y = 8 15. Solve the system using the elimination method. 3x – 4y = -11 6x + 2y = 28 ________________________ 16. Draw a graph that represents a linear function. Name: ______________________________________Date:__________________ 17. Draw a graph that represents a nonlinear function. 18. Write an equation that represents a nonlinear function. Tell why you know this is nonlinear. __________________________________