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Practice

1.12.7 Practice

1.12.7 • Practice

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

In 1 – 2, find the equation of a line with given slope and y -intercept. Write the equation in slope-intercept form.

  1. slope 3 and y -intercept ( 0 , 5 )
  1. y = 0 x + 3
  2. y = 3 x + 5
  3. y = 3 x + 0
  4. y = 5 x + 3
  1. slope − 3 and y -intercept ( 0 , − 1 )
  1. y = 0 x − 3
  2. y = − x + 0
  3. y = − 3 x − 1
  4. y = − x − 3
In 3 – 4, Choose the slope-intercept form of the equation of the line, shown in each graph.
  1. y = 3 x − 5
  2. y = − 5 x + 3
  3. y = 5 x − 3
  4. y = − 3 x + 5
  1. y = 1 2 x + 2
  2. y = 1 2 x − 4
  3. y = 2 x + 4
  4. y = − 2 x + 4
  1. Choose the equation of a line with the given slope and containing the given point that best represents the line in slope-intercept form.

    m = − 7 , point ( − 1 , − 3 )

  1. y = − 7 x − 10
  2. y = − 3 x + 10
  3. y = − 7 x − 3
  4. y = − 7 x − 1
  1. Choose the equation of a line containing the given points that best represents the line in slope-intercept form.

    ( 0 , 4 ) and ( 2 , − 3 )

  1. y = − 7 2 x + 4
  2. y = − 2 7 x + 4
  3. y = 7 2 x + 4
  4. y = − 7 2 x − 3
  1. Choose the equation of a line containing the given points that best represents the line in slope-intercept form.

    ( 3 , − 4 ) and ( 5 , − 4 )

  1. x = − 2
  2. x = 2
  3. y = 0
  4. y = − 4
  1. What is y − 5 = 3 ( x − 2 ) written in standard form?
  1. y = 3 x − 11
  2. 3 x − y = 1
  3. − 3 x + y = − 1
  4. y = 3 x − 1
  1. Write the equation of a line that contains the points ( – 3 , – 1 ) and ( 2 , – 2 ) . Write the equation in point-slope form.
  1. y − 4 = 3 ( x − 2 )
  2. y + 2 = 1 3 ( x − 4 )
  3. y − 4 = − 3 ( x + 2 )
  4. y − 2 = 3 ( x − 4 )
  1. Write the equation of a line that contains the point ( 2 , − 3 ) with a slope of 8 . Write the equation in standard form.
  1. 19 x + y = 8
  2. 8 x − y = 19
  3. 8 x + y = 19
  4. 8 x − y = − 19
  1. Write the equation of a line that contains the points ( 3 , 1 ) and ( − 1 , 5 ) . Write the equation in standard form.
  1. x + y = − 4
  2. − x + y = 4
  3. x + y = 4
  4. x − y = 4