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Grade 9 · Math · Algebra 1

9th grade Find the intercepts and graph a line from any form, including horizontal and vertical lines worksheet

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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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9th grade Find the intercepts and graph a line from any form, including horizontal and vertical lines worksheet – printable
Print: 123456

About this worksheet

Find the intercepts and graph a line from any form, including horizontal and vertical lines. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find the x-intercept and the y-intercept from a table, from y = mx + b and from Ax + By = C.
  • I can tell a horizontal line from a vertical line and say which slope each has.
  • I can write the equation of a line from its two intercepts.

Standard: F-IF.C.7a, A-REI.D.10

Words to know

x-intercept: The row where y = 0: the point where the line meets the x-axis.

y-intercept: The row where x = 0: the point where the line meets the y-axis.

horizontal line: y = a number. Flat, slope 0.

vertical line: x = a number. Straight up, slope not defined.

Common mistakes

Your child stopped at the number on the right and did not divide by the number in front of the letter.

Your child multiplied by the number in front of the letter instead of dividing.

Your child gave the other intercept.

What to say

Ask: how many x's (or y's) does that number stand for?

Ask: if 4x = 12, what do you do to get x alone?

Ask: which letter is 0 at the x-intercept, and which at the y-intercept?

Questions parents ask

What is the most common mistake with find the intercepts and graph a line from any form, including horizontal and vertical lines?

Your child stopped at the number on the right and did not divide by the number in front of the letter.

How can I help my child with find the intercepts and graph a line from any form, including horizontal and vertical lines?

Ask: how many x's (or y's) does that number stand for?

Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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