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

NameDate

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

The line is 4x + 3y = 24. In math club, Zee studies 4x + 3y = 24. What is its y-intercept?
The line is 3x − 4y = 24. In math club, Bo studies 3x − 4y = 24. What is its y-intercept?
The line is 4x − 3y = 36. In math club, Pia studies 4x − 3y = 36. What is its y-intercept?
Read this first
Input–output table
x y
5 0
5 2
5 5
4.
Jun graphs the line x = 5. Which statement about the line is true?
- Its slope is 5
- It is horizontal, and its slope is 0, like a flat road
- It is vertical, and its slope is not defined
5.
Tala graphs the line y = 4. Which statement about the line is true?
- It is vertical, and its slope is not defined
- It is horizontal, and its slope is 0
- Its slope is 4
6.
Luz graphs the line x = -3. Which statement about the line is true?
- Its slope is -3
- It is horizontal, and its slope is 0
- It is vertical, and its slope is not defined
Ari's line passes through (2, 5) and (7, 5). What is the equation of the line?
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 | 2; 6 | 6; 12 | 10
- 0 | 3; 6 | -6; 12 | -15
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 | 8; 6 | 4; 12 | 0
- 0 | -8; 6 | -4; 12 | 0
- 0 | 12; 6 | 3; 12 | -6
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 | -15; 6 | -6; 12 | 3
- 0 | 15; 6 | 6; 12 | -3
- 0 | 10; 6 | 14; 12 | 18

x	y
5	0
5	2
5	5

9th grade Find the intercepts and graph a line from any form, including horizontal and vertical lines worksheet – printable — Print: 1 2 3 4 5 6

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.

More algebra 1

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