Practice

1.11.5 Practice

1.11.5 • Practice

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

For numbers 1 – 2, use the graph below:

This figure a shows a straight line graphed on the x y-coordinate plane. The x and y axes run from negative 10 to 10. The line goes through the points (negative 6, negative 8), (negative 4, negative 6), (negative 2, negative 4), (0, negative 2), (2, 0), (4, 2), (6, 4), (8, 6).
  1. What are the coordinates of the x -intercept of the graph?
  1. ( − 2 , 0 )
  2. ( 0 , − 2 )
  3. ( 2 , 0 )
  4. ( 0 , 2 )
  1. What are the coordinates of the y -intercept of the graph?
  1. ( − 2 , 0 )
  2. ( 0 , − 2 )
  3. ( 2 , 0 )
  4. ( 0 , 2 )

For numbers 3 – 4, use the graph below:

This figure a shows a straight line graphed on the x y-coordinate plane. The x and y axes run from negative 10 to 10. The line goes through the points (negative 6, 6), (negative 3, 4), (0, 2), (3, 0), (6, negative 2), and (9, negative 4).
  1. What are the coordinates of the 𝑥-intercept of the graph?
  1. ( 3 , 0 )
  2. ( 0 , 3 )
  3. ( 2 , 0 )
  4. ( 0 , 2 )
  1. What are the coordinates of the y -intercept of the graph?
  1. ( − 2 , 0 )
  2. ( 0 , − 2 )
  3. ( 2 , 0 )
  4. ( 0 , 2 )
  1. What are the coordinates of the x -intercept of the equation 3 x + y = 12 ?
  1. ( 0 , 4 )
  2. ( 4 , 0 )
  3. ( 12 , 0 )
  4. ( 0 , 12 )
  1. What are the coordinates of the y -intercept of the equation 3 x + y = 12 ?
  1. ( 0 , 4 )
  2. ( 4 , 0 )
  3. ( 12 , 0 )
  4. ( 0 , 12 )
  1. What is the slope of the line 3 x − 2 y = 6 ?
  1. What is the y -intercept of y = 6 x + 2 ?
  1. What is the y -intercept of 10 x + 5 y = 30 ?
  1. Which graph represents the equation 12 = 3 x + 4 y ? Explain how you know.