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Name: ______________________________________ Algebra Chapter 6 Test B Multiple Choice Identify the choice that best completes the statement or answers the question. Tell whether the lines for each pair of equations are parallel, perpendicular, or neither. 1. 7x – 4y = 4 x – 4y = 3 a. perpendicular 2. y = b. parallel c. neither b. parallel c. neither 7 x+6 6 12x + 14y = –12 a. perpendicular The rate of change is constant in the table. Find the rate of change. 3. Time (hours) Distance (miles) 4 200 6 300 8 400 500 10 Find the slope of the line that passes through each pair of points. 4. (1, 7), (10, 1) 5. (–5.5, 6.1), (–2.5, 3.1) Name: ______________________________________ 6. Find the slope and y-intercept of the line. Find the slope and y-intercept of the line. 7. y= 4 x–3 3 8. 14x + 4y = 24 Find the x- and y-intercept of the lines. Then graph the lines. 9. 2x + 3y = –18 10. –3x + 9y = 18 Name: ______________________________________ Graph the equations. 11. y = –3 12. x = –4 13. y = 3 x–3 4 Write an equation of a line with the given slope and y-intercept in slope intercept form. 14. slope = 3 and y – intercept = 7 Write an equation in slope-intercept form for the lines described in #15 & 16. 15. (10, –9); m = 2 16. A line passes through (2, –1) and (8, 4). (Hint: use point-slope form, first!) Write an equation for the line that is parallel to the given line and that passes through the given point. 17. y = 3 x – 9; (–8, –18) 4 Name: ______________________________________ Write the equation of a line that is perpendicular to the given line and that passes through the given point. 18. ; (–6, 5) 19. State whether the slope is 0 or undefined. Write an equation in slope-intercept form to represent each situation. 20. Jen reads 3 books per month, how many books will she have read in x amount of months. _______________________________________________________________________ 21. The bank charges $10 to open a checking account and $.05 per check. _______________________________________________________________________