5 $75 6 $90 7 $105. Name Hour. Review Slope & Equations of Lines. STANDARD FORM: Ax + By = C. 1. What is the slope of a vertical line?

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1 Review Slope & Equations of Lines Name Hour STANDARD FORM: Ax + By = C 1. What is the slope of a vertical line? 2. What is the slope of a horizontal line? 3. Is y = 4 the equation of a horizontal or vertical line? 4. Is x = -1 the equation of a horizontal or vertical line? 5. What quadrant is the point (-3, -5) located? Finding Slope 6. Find the slope that passes through the following points: (2, 3), (-1, 5) 7. Find the slope that passes through the following points: (-4, 7), (12, 3) 8. Find the slope that passes through the following points: (3, 6), (3, -1) 9. Find the slope that passes through the following points: (-6, 2), (1, 2) 10. Find the rate of change for the data in the table. Tickets Cost 5 $75 6 $90 7 $105

2 Use the graphs below to determine the slope of the line Graph the lines below. 14. x = y = Write the equation of the line in slope-intercept form with slope of 2 and y-intercept of Write the equation of the line in slope-intercept form with slope of -1/2 and y-intercept is Write the equation of the line in slope-intercept form with y-intercept of -5 and slope of 2/ Write the equation of the line in point-slope form with a slope of 3 that passes through the point (6, -1). 20. Write the equation of the line in point-slope form with a slope of -3 that passes through the point (2, 4). 21. Write the equation of the line in point-slope form with a slope of 1/2 that passes through the point (2, -4). 22. Write the equation of the line that has a slope of 0 that passes through the point (4, 3). 23. Write the equation of the line where the slope is UNDEFINED and passes through the point (2, -1).

3 24. Identify the slope and y-intercept and graph the equation: y = 2x + 5 slope = y -int = 25. Graph the line using x-intercepts and y-intercepts: 4x + 3y = 12 x-intercept: y-intercept:

4 26. Find the x and y intercepts and graph the line: 2x + 5y = 10 x-intercept: y-intercept: 27. Write an equation for the lines in point-slope form passing through the points (1, 8) and (-2, -1) 28. Write the equation for the line in point-slope form passing through the points (1, -6) and (-3, 2). 29. Write the equation for the line through these points: (12, 1) and (12, -5) 30. Write the equation for the line through these points: (5, -1) and (-2, -1). 31. Rewrite the equation in standard form: 2x - 3y + 4 = Rewrite the equation in standard form: y = -4x + 7

5 Name Hour FORM A Slope & Equations of Lines TEST Good Luck!! STANDARD FORM: Ax + By = C 1. What is the slope of a horizontal line? 2. What is the slope of a vertical line? 3. What is the slope of the line y = -2? 4. What is the slope of the line x = 4? 5. What quadrant is the point (4, -3) located? Finding Slope 6. Find the slope that passes through the following points: (-1, 3), (-2, -6) 7. Find the slope that passes through the following points: (-4, 10), (-4, 3) 8. Find the slope that passes through the following points: (1, 2), (5, 2) 9. Find the rate of change for the data in the table. x y

6 Use the graphs below to determine the slope of the line Graph the lines below. 12. x = y = Write the equation of the line in slope-intercept form with slope of 1 and y-intercept of Write the equation of the line in slope-intercept form with slope of 3/4 and y-intercept is Write the equation of the line in slope-intercept form with y-intercept of 3 and slope of Write the equation of the line in point-slope form with a slope of 5 that passes through the point (-1, -3). 18. Write the equation of the line in point-slope form with a slope of -3 that passes through the point (-5, 4). 19. Write the equation of the line in point-slope form with a slope of 4/5 that passes through the point (4, 8).

7 20. Write the equation of the line that has a slope of 0 that passes through the point (-1, 6). 21. Write the equation of the line where the slope is UNDEFINED and passes through the point (4, -2). 22. Identify the slope and y-intercept and graph the equation: y = x - 3 slope = y -int = 23. Graph the line using x-intercepts and y-intercepts: 5x + 10y = 30 x-intercept: y-intercept:

8 24. Write an equation for the lines in point-slope form passing through the points (4, 0) and (0, 4) 25. Write the equation for the line in point-slope form passing through the points (0, 3) and (-1, -3). 26. Write the equation for the line through these points: (5, 1) and (5, -4) 27. Write the equation for the line through these points: (3, 2) and (-2, 2). 28. Rewrite the equation in standard form: 5y + 3x - 4 = 0 BONUS: Write the negative reciprocal of -4/5

9 Name Hour FORM B Slope & Equations of Lines TEST Good Luck!! STANDARD FORM: Ax + By = C 1. What is the slope of a horizontal line? 2. What is the slope of a vertical line? 3. What is the slope of the line x = -2? 4. What is the slope of the line y = 6? 5. What quadrant is the point (4, 3) located? Finding Slope 6. Find the slope that passes through the following points: (8, 10), (-7, 14) 7. Find the slope that passes through the following points: (-18, 12), (11, 12) 8. Find the slope that passes through the following points: (-18, -20), (-18, -15) 9. Find the rate of change for the data in the table. x y

10 Use the graphs below to determine the slope of the line Graph the lines below. 12. x = y = Write the equation of the line in slope-intercept form with slope of 4 and y-intercept of Write the equation of the line in slope-intercept form with slope of -1 and y-intercept is Write the equation of the line in slope-intercept form with y-intercept of 8 and slope of 1/ Write the equation of the line in point-slope form with a slope of 6 that passes through the point (-4, -1). 18. Write the equation of the line in point-slope form with a slope of -5 that passes through the point (-1, 3). 19. Write the equation of the line in point-slope form with a slope of 3/4 that passes through the point (7, 2).

11 20. Write the equation of the line that has a slope of 0 that passes through the point (-4, 9). 21. Write the equation of the line where the slope is UNDEFINED and passes through the point (1, -9). 22. Identify the slope and y-intercept and graph the equation: y = - x - 4 slope = y -int = 23. Graph the line using x-intercepts and y-intercepts: 4x + 8y = 16 x-intercept: y-intercept:

12 24. Write an equation for the lines in point-slope form passing through the points (-12, -5) and (0, -8) 25. Write the equation for the line in point-slope form passing through the points (-19, -6) and (15, 16). 26. Write the equation for the line through these points: (3, 1) and -4, 1) 27. Write the equation for the line through these points: (3, 7) and (3, -2). 28. Rewrite the equation in standard form: 4y + 8x - 24 = 0 BONUS: Write the negative reciprocal of -1/2

13 Name Hour FORM C Slope & Equations of Lines TEST Good Luck!! STANDARD FORM: Ax + By = C 1. What is the slope of a vertical line? 2. What is the slope of a horizontal line? 3. What is the slope of the line x = -5? 4. What is the slope of the line y = 4? 5. What quadrant is the point (4, 1) located? Finding Slope 6. Find the slope that passes through the following points: (-3, 3), (-2, -6) 7. Find the slope that passes through the following points: (-4, 10), (7, 10) 8. Find the slope that passes through the following points: (4, 7), (4, 2) 9. Find the rate of change for the data in the table. x y

14 Use the graphs below to determine the slope of the line Graph the lines below. 12. x = y = Write the equation of the line in slope-intercept form with slope of -1 and y-intercept of Write the equation of the line in slope-intercept form with slope of 4/5 and y-intercept is Write the equation of the line in slope-intercept form with y-intercept of 4 and slope of Write the equation of the line in point-slope form with a slope of 5 that passes through the point (-3, -1). 18. Write the equation of the line in point-slope form with a slope of -2 that passes through the point (-8, 3). 19. Write the equation of the line in point-slope form with a slope of 1/2 that passes through the point (2, 6).

15 20. Write the equation of the line that has a slope of 0 that passes through the point (-4, 5). 21. Write the equation of the line where the slope is UNDEFINED and passes through the point (2, -3). 22. Identify the slope and y-intercept and graph the equation: y = 1/2x -2 slope = y -int = 23. Graph the line using x-intercepts and y-intercepts: 4x + 12y = 24 x-intercept: y-intercept:

16 24. Write an equation for the lines in point-slope form passing through the points (-3, 1) and (-17, 2) 25. Write the equation for the line in point-slope form passing through the points (-6, 9) and (7, -9). 26. Write the equation for the line through these points: (1, 1) and (1, -4) 27. Write the equation for the line through these points: (3, 7) and (-2, 7). 28. Rewrite the equation in standard form: 3y + 9x - 18 = 0 BONUS: Write the negative reciprocal of -1/3

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