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

Answer Key - Grade 9 Math Worksheet

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

1. 1.

   The line is 5x + 2y = 30. In math club, Milo studies 5x + 2y = 30. What is its x-intercept?

   6
2. 2.

   The line is 3x − 4y = 24. In math club, Bo studies 3x − 4y = 24. What is its y-intercept?

   -6
3. 3.

   The line is 4x − 3y = 36. In math club, Pia studies 4x − 3y = 36. What is its y-intercept?

   -12

4. Read this first

   Input–output table

   x	y
   5	0
   5	2
   5	5

5. 4.

   Jun graphs the line x = 5. Which statement about the line is true?

   • It is horizontal, and its slope is 0, like a flat road
   • It is vertical, and its slope is not defined
   • Its slope is 5
6. 5.

   Luz graphs the line x = -3. Which statement about the line is true?

   • It is horizontal, and its slope is 0
   • Its slope is -3
   • It is vertical, and its slope is not defined
7. 6.

   Ari's line passes through (2, 5) and (7, 5). What is the equation of the line?

   y = 5
8. 7.

   Noah's line passes through (4, 1) and (4, 6). What is the equation of the line?

   x = 4
9. 8.

   Input–output table (x | y). Put each row into 3x − 2y = 6 to check it. Ren wants three points on the line 3x − 2y = 6. Which table of values (x | y) shows points on the line?

   • 0 | -3; 6 | 6; 12 | 15
   • 0 | 3; 6 | -6; 12 | -15
   • 0 | 2; 6 | 6; 12 | 10
10. 9.

    Input–output table (x | y). Put each row into 2x + 3y = 24 to check it. Kira wants three points on the line 2x + 3y = 24. Which table of values (x | y) shows points on the line?

    • 0 | 12; 6 | 3; 12 | -6
    • 0 | -8; 6 | -4; 12 | 0
    • 0 | 8; 6 | 4; 12 | 0
11. 10.

    Input–output table (x | y). Put each row into 3x − 2y = 30 to check it. Zee wants three points on the line 3x − 2y = 30. Which table of values (x | y) shows points on the line?

    • 0 | 10; 6 | 14; 12 | 18
    • 0 | -15; 6 | -6; 12 | 3
    • 0 | 15; 6 | 6; 12 | -3