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Algebra I Chapter 5 REVIEW Problems 2/5/2015 Find the slope of the line. 1. y 5 4 3 2 1 –5 –4 –3 –2 –1 –1 1 2 3 4 5 x –2 –3 –4 –5 What is the slope of the line that passes through the pair of points? 2. (6, -7), (4, 17) 3. Suppose y varies directly with x, and y = 10 when x = –7. What direct variation equation relates x and y? What is the value of y when x = –1? What are the slope and y-intercept of the graph of the given equation? 4. y= 4 x 11 10 3 Write an equation of a line with the given slope and y-intercept. 5. m = 17, b = 5.2 Algebra I Chapter 5 REVIEW Problems 2/5/2015 Write the slope-intercept form of the equation for the line. 6. y 5 4 3 2 1 –5 –4 –3 –2 –1 –1 1 2 3 4 5 x –2 –3 –4 –5 What equation in slope intercept form represents the line that passes through the two points? 7. (2, -6), (5, 2) Write an equation in point-slope form for the line through the given point with the given slope. 8. (8, 3); m = 6 Algebra I Chapter 5 REVIEW Problems Graph the equation. 9. y – 4 = 2(x - 1) y 10 5 –10 –5 5 10 x –5 –10 What is an equation of the line? 10. y 5 4 3 2 1 –5 –4 –3 –2 –1 –1 –2 –3 –4 –5 1 2 3 4 5 x 2/5/2015 Algebra I Chapter 5 REVIEW Problems 2/5/2015 11. The table shows the height above the ground of a rocket launched straight up. Write an equation in point-slope form for the rocket’s height at any time. Let y stand for the height of the rocket in meters and let x stand for the time in seconds. Time (s) Height (m) 3 21 5 33 7 45 9 57 Find the x- and y-intercept of the lines. 12. –4x + 2y = 72 7 5 13. x 4y = 16 Are the lines for this pair of equations are parallel, perpendicular, or neither? 1 6 14. y = x – 5 – 4y = 2 3 x + 12 Algebra I Chapter 5 REVIEW Problems 2/5/2015 Match the equation with its graph. ____15. –4x – 2y = 8 a. –10 –8 –6 c. y –4 10 8 8 6 6 4 4 2 2 –2 –2 2 4 6 8 10 x –4 –6 –4 –2 –2 –4 –6 –6 –8 –8 –10 –10 d. y –6 –10 –8 –4 b. –10 –8 y 10 10 8 8 6 6 4 4 2 2 2 4 6 8 10 x 4 6 8 10 x 2 4 6 8 10 x y 10 –2 –2 2 –10 –8 –6 –4 –2 –2 –4 –4 –6 –6 –8 –8 –10 –10 Write an equation for the line that is parallel to the given line and passes through the given point. 16. y = 3 x – 8; (–15, –23) 5 Algebra I Chapter 5 REVIEW Problems 2/5/2015 Write the equation of a line that is perpendicular to the given line and that passes through the given point. 17. x + 3y = 16; (–3, –4) 18. Graph . y 10 5 –10 –5 5 10 x –5 –10 Write an equation for each translation of 19. 3 units left 20. 16.5 units right . Algebra I Chapter 5 REVIEW Problems 2/5/2015