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Grade 9 Writing Linear Equations Worksheet with Answers

Grade 9 (US) · Year 10 (UK) · Class 9 (India) · Math

Unit 2: Linear FunctionsSlope & Equations of LinesCCSS F-LE.A.2

Writing the equation of a line from a slope and a point, or from two points. This free high school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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Writing Linear Equations

Grade 9 · Math

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Class

Date

Learning goal: Slope & Equations of Lines · CCSS F-LE.A.2

Directions: Solve each problem. Show your work, then write your answer in the box.

Example

Write the equation (y = mx + b) of the line through (0, 4) and (3, 22).

Answer: y = 6x + 4

RememberSlope and lines

1
Write the equation (y = mx + b) of the line with slope 5 through (-1, -12).
Show your work
Answer
2
Write the equation (y = mx + b) of the line with slope -4 through (-3, 16).
Show your work
Answer
3
Write the equation (y = mx + b) of the line through (-3, 2) and (-2, 3).
Show your work
Answer
4
Write the equation (y = mx + b) of the line through (2, 3) and (3, 4).
Answer
5
Write the equation (y = mx + b) of the line through (0, 0) and (1, 2).
Answer
6
Write the equation (y = mx + b) of the line with slope -4 through (3, -19).
Show your work
Answer
7
Write the equation (y = mx + b) of the line with slope 6 through (2, 16).
Show your work
Answer
8
Write the equation (y = mx + b) of the line with slope 1 through (3, 6).
Show your work
Answer
9
Write the equation (y = mx + b) of the line with slope 1 through (-3, -3).
Show your work
Answer
10
Write the equation (y = mx + b) of the line through (0, -7) and (2, 3).
Show your work
Answer
11
Write the equation (y = mx + b) of the line through (0, -7) and (1, -9).
Show your work
Answer
12
Write the equation (y = mx + b) of the line with slope -6 through (2, -5).
Show your work
Answer

★ Challenge corner for fast finishers

If 2^x = 4, what is 4^x?

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/9/point_slope

Answer key (click to show)

1.y = 5x - 7
2.y = -4x + 4
3.y = x + 5
4.y = x + 1
5.y = 2x
6.y = -4x - 7
7.y = 6x + 4
8.y = x + 3
9.y = x
10.y = 5x - 7
11.y = -2x - 7
12.y = -6x + 7
★16 (challenge corner)

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