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Practice

1.14.7 Practice

1.14.7 • Practice

Complete the following questions to practice the skills you have learned in this lesson.

In questions 1 – 5, choose an equation of a line parallel to the given line and contains the given point. The choices are in slope-intercept form.
  1. Which line is parallel to y = 4 x + 2 and contains the point ( 1 , 2 ) ?
  1. y = − 1 4 x + 2
  2. y = − 1 4 x − 2
  3. y = 4 x − 2
  4. y = 4 x + 2
  1. Which line is parallel to y = − 3 x − 1 and contains the point ( 2 , − 3 ) ?
  1. y = 1 3 x − 3
  2. y = 1 3 x + 3
  3. y = − 3 x − 3
  4. y = − 3 x + 3
  1. Which line is parallel to 2 x − y = 6 and contains the point ( 3 , 0 ) ?
  1. y = 2 x − 6
  2. y = − 2 x
  3. y = − 2 x + 6
  4. y = 2 x
  1. Which line is parallel to x = − 4 and contains the point ( − 3 , − 5 ) ?
  1. y = − 4
  2. x = − 5
  3. y = − 5
  4. x = − 3
  1. Which line is parallel to y = 5 and contains the point ( 2 , − 2 ) ?
  1. y = 2
  2. y = − 2
  3. x = 5
  4. x = 2
In questions 6 – 10, find an equation of a line that is perpendicular to the given line and contains the given point. The choices are in slope-intercept form.
  1. Which line is perpendicular to y = − 2 x + 3 and contains the point ( 2 , 2 ) ?
  1. y = 1 2 x + 1
  2. y = 1 2 x + 3
  3. y = − 1 2 x + 3
  4. y = − 2 x + 6
  1. Which line is perpendicular to y = − x + 5 and contains the point ( 3 , 3 ) ?
  1. y = − x + 3
  2. y = x + 5
  3. y = x
  4. y = − x + 6
  1. Which line is perpendicular to y = 3 4 x − 2 and contains the point ( − 3 , 4 ) ?
  1. y = 3 4 x + 17 4
  2. y = 3 4 x + 4
  3. y = − 4 3 x + 4
  4. y = − 4 3 x
  1. Which line is perpendicular to x = − 5 and contains the point ( 1 , − 2 ) ?
  1. x = − 2
  2. y = − 2
  3. x = 1
  4. y = − 5
  1. Which line is perpendicular to y − 3 = 0 and contains the point ( − 2 , − 4 ) ?
  1. x = − 2
  2. x = 3
  3. y = − 4
  4. y = 33