5.1-5.3 Quiz Review Algebra 1 Name:_____________________ Assignment:________________ IMPORTANT INFORMATION THAT I PROMISE I WILL MEMORIZE FOR THE QUIZ!!!!! Slope is equal to ______________________ over ______________________ The Slope equation is m = ___________________________ Slope-Intercept form looks like:________________________________________ “m” stands for the _________________ and “b” stands for the ________________________ and the y-intercept is where my line crosses the _______________________ Point-Slope form looks like:________________________________________ Graph a linear function. 1. f(x) = 3x - 1 m = ____ 2. b = ____ 3. g(x) = ½x + 4 m = ____ b = ____ Write the equation of the line described below in slope-intercept form. 4. m = 6, b = -2 5. m = ½, b = 3 h(x) = -4x - 5 m = ____ 6. b = ____ m = -5, b = 9 Identify the slope and y-intercept of the line. Then write the equation in slope-intercept form. 7. 8. m = ______ b = ______ m = _____ b = _____ equation:______________ equation:____________ 9. m = _____ b = _____ equation:_______________ 10. m = _____ b = _____ equation:____________ 11. Give the letter of the equation that matches the graph. B. y = 2x – 3 A. y = x C. y = -x D. y = 2 x+ 2 3 Write the equation of the line in Point-Slope Form. 12. (-1, 6); m = 5 13. (-4, -9); m= 2 14. (2, -3); m = 7 15. (-8, 1); m = 3 4 Write in point-slope form the equation of the line that passes through the given point and has the given slope. Then rewrite the equation in slope-intercept form. 16. (10, 3); m = -2 17. (8, 6); m = ½ ______________________ ________________________ point-slope form point-slope form ______________________ ________________________ Slope-intercept form Slope-intercept form 18. (-9, 6); m = 1 3 19. (3, 4); m = 0 ______________________ ________________________ point-slope form point-slope form ______________________ ________________________ Slope-intercept form Slope-intercept form Write in point-slope form the equation of the line that passes through the given points. Then rewrite in slope-intercept form. 20. (-1, 5) and (-4, 2) 21. (-4, 5) and (2, 2) m = ________ m = ___________ Point-Slope:________________________ Point-Slope:________________________ Final:______________________________ Final:______________________________ Write the equation of the line that passes through the given points in point-slope form. Then rewrite in slope-intercept form and graph. 22. (6, 7) and (3, 10) 23. (-2, -2) and (4, 10) m = ________ m = ___________ Point-Slope:________________________ Point-Slope:________________________ ______________________ Slope-intercept form ______________________ Slope-intercept form Write the equation of the line in slope-intercept form. 34. 35. m = ______ m = ______ Point-Slope:________________________ Point-Slope:________________________ Slope Intercept :_____________________ Slope Intercept :_____________________ 36. 37. m = ______ m = ______ Point-Slope:________________________ Point-Slope:________________________ Slope Intercept :_____________________ Slope Intercept :_____________________ Decide which form of a linear equation to use: Point-Slope form or Slope-Intercept form? 38. A line passes through the point (2, 8) and has a slope of 2. 39. A line passes through the points (2, 4) and (5, 8). 40. A line has a slope of 2 and a y-intercept of -3. Answers 1- 3. See Graphs 7. y = 2x+3 4. y = 6x – 2 5. y = ½ x + 3 8. y = x + 4 12. y – 6 = 5(x + 1) 15. y – 1 = 3 (x + 8) 4 19. y = 4 9. y = -4x + 1 10. y = 5x + 4 13. y + 9 = 2(x + 4) 14. y + 3 = 7(x – 2) 16. y = -2x + 23 17. y = ½ x + 2 18. y = 22. y = -x + 13 23. y = 2x + 2 1 2 21. y = x + 3 20. y = x + 6 34. y = 3x – 10 38. Point-Slope 35. y = 4 1 x 5 5 36. y = 39. Point-Slope 6. y =-5x + 9 5 1 x 3 3 40. Slope-Intercept 11. B, D, A, C 1 x+9 3 37. y = -5x + 7