Find the intercepts and graph a line from any form, including horizontal and vertical lines

Grade 9 Math Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

  1. The rule is y = -3x/2 + 6. Bo studies the line y = -3x/2 + 6. What is its x-intercept?

  2. The rule is y = 5x − 10. Pia studies the line y = 5x − 10. What is its x-intercept?

  3. Read this first

    Input–output table

    xy
    0-6
    2-6
    5-6
  4. Jun graphs the line y = -6. Where does the line cross the x-axis?

    • Never: it is horizontal, so it runs parallel to the x-axis
    • At (-6, 0)
    • At (0, 0), because the line passes through the origin of the grid
  5. Tala graphs the line x = 7. Where does the line cross the y-axis?

    • At (0, 0)
    • Never: it is vertical, so it runs parallel to the y-axis
    • At (0, 7)
  6. ? | 0 and 0 | ?. The line is 2x + 7y = 42. Ari draws the line 2x + 7y = 42 and the two axes make a right triangle. What is the area of the triangle, in square units?

  7. ? | 0 and 0 | ?. The line is 5x + 4y = 60. Noah draws the line 5x + 4y = 60 and the two axes make a right triangle. What is the area of the triangle, in square units?

  8. 4 | 0 and 0 | 6. Ren's line crosses the x-axis at (4, 0) and the y-axis at (0, 6). What is its equation, as Ax + By = C with whole numbers and no common factor?

  9. 5 | 0 and 0 | 3. Kira's line crosses the x-axis at (5, 0) and the y-axis at (0, 3). What is its equation, as Ax + By = C with whole numbers and no common factor?

  10. 8 | 0 and 0 | 2. Zee's line crosses the x-axis at (8, 0) and the y-axis at (0, 2). What is its equation, as Ax + By = C with whole numbers and no common factor?

  11. 3 | 0 and 0 | 9. Milo's line crosses the x-axis at (3, 0) and the y-axis at (0, 9). What is its equation, as Ax + By = C with whole numbers and no common factor?

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Find the intercepts and graph a line from any form, including horizontal and vertical lines

Answer Key - Grade 9 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

  1. The rule is y = -3x/2 + 6. Bo studies the line y = -3x/2 + 6. What is its x-intercept?

    4
  2. The rule is y = 5x − 10. Pia studies the line y = 5x − 10. What is its x-intercept?

    2
  3. Read this first

    Input–output table

    xy
    0-6
    2-6
    5-6
  4. Jun graphs the line y = -6. Where does the line cross the x-axis?

    • Never: it is horizontal, so it runs parallel to the x-axis
    • At (-6, 0)
    • At (0, 0), because the line passes through the origin of the grid
  5. Tala graphs the line x = 7. Where does the line cross the y-axis?

    • At (0, 0)
    • Never: it is vertical, so it runs parallel to the y-axis
    • At (0, 7)
  6. ? | 0 and 0 | ?. The line is 2x + 7y = 42. Ari draws the line 2x + 7y = 42 and the two axes make a right triangle. What is the area of the triangle, in square units?

    63
  7. ? | 0 and 0 | ?. The line is 5x + 4y = 60. Noah draws the line 5x + 4y = 60 and the two axes make a right triangle. What is the area of the triangle, in square units?

    90
  8. 4 | 0 and 0 | 6. Ren's line crosses the x-axis at (4, 0) and the y-axis at (0, 6). What is its equation, as Ax + By = C with whole numbers and no common factor?

    3x + 2y = 12
  9. 5 | 0 and 0 | 3. Kira's line crosses the x-axis at (5, 0) and the y-axis at (0, 3). What is its equation, as Ax + By = C with whole numbers and no common factor?

    3x + 5y = 15
  10. 8 | 0 and 0 | 2. Zee's line crosses the x-axis at (8, 0) and the y-axis at (0, 2). What is its equation, as Ax + By = C with whole numbers and no common factor?

    x + 4y = 8
  11. 3 | 0 and 0 | 9. Milo's line crosses the x-axis at (3, 0) and the y-axis at (0, 9). What is its equation, as Ax + By = C with whole numbers and no common factor?

    3x + y = 9