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Worksheet

Point-Slope Form

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Show your work for each problem.

  1. 1.
    What is the point-slope form of a linear equation?
    1. a)
    2. b)
    3. c)
    4. d)
  2. 2.
    In point-slope form , what does represent?
    1. a)The y-intercept
    2. b)The y-coordinate
    3. c)The slope
    4. d)The x-coordinate
  3. 3.
    A line has slope and passes through . Write the equation in point-slope form:
  4. 4.
    Convert to slope-intercept form. What is (the y-intercept)?
  5. 5.
    Write the equation of a line with slope passing through .
  6. 6.
    Which equation represents a line through with slope ?
    1. a)
    2. b)
    3. c)
    4. d)
  7. 7.
    Calculate the slope of the line through and .
  8. 8.
    Find the equation of the line through and .
  9. 9.
    What is the slope of a line parallel to ?
    1. a)
    2. b)
    3. c)
    4. d)
  10. 10.
    What is the slope of a line perpendicular to ? (Express as a fraction if needed)
  11. 11.
    Write the equation of a line parallel to that passes through .
  12. 12.
    Convert to slope-intercept form.
  13. 13.
    Which equation represents a line perpendicular to passing through ?
    1. a)
    2. b)
    3. c)
    4. d)
  14. 14.
    Convert to slope-intercept form. What is ?
  15. 15.
    Write the equation of a line perpendicular to that passes through .
  16. 16.
    Find the equation of the line through and .
  17. 17.
    A line passes through and . What is the y-intercept of this line?
  18. 18.
    The lines and are:
    1. a)The same line
    2. b)Neither parallel nor perpendicular
    3. c)Parallel lines
    4. d)Perpendicular lines
Interactive lesson with step-by-step solutions and more practice (free): mathorio.com/en/learn/algebra/linear-functions/point-slope-form