Grade 9 Slope-Intercept Form Worksheets
Start with eight focused practice problems, then use the answer key below to check the worksheet.
Practice Worksheet
Grade 9 Slope-Intercept Form Practice
Solve each problem. Show your work.
- 1.Write the equation y = mx + b for this table: (1, -7), (2, -8), (3, -9).
- 2.Write the equation y = mx + b for this table: (1, -3), (2, -4), (3, -5).
- 3.Write the equation y = mx + b for this table: (2, 12), (3, 14), (4, 16).
- 4.Write the equation y = mx + b for this table: (0, -8), (1, -9), (2, -10).
- 5.Write the equation y = mx + b for this table: (0, 4), (1, 6), (2, 8).
- 6.Write the equation y = mx + b for this table: (1, -2), (2, -7), (3, -12).
- 7.Write the equation y = mx + b for this table: (2, -7), (3, -9), (4, -11).
- 8.Write the equation y = mx + b for this table: (-1, 1), (0, 3), (1, 5).
Show answer key
- Question 1: y = -x - 6
- Question 2: y = -x - 2
- Question 3: y = 2x + 8
- Question 4: y = -x - 8
- Question 5: y = 2x + 4
- Question 6: y = -5x + 3
- Question 7: y = -2x - 3
- Question 8: y = 2x + 3
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About These Worksheets
Grade 9 students use slope-intercept form to move efficiently between equations, graphs, and real-world linear models.
Slope-intercept form worksheets focus on equations written as y = mx + b, where m gives the slope and b gives the y-intercept. This format is powerful because students can read the graph's starting point and rate of change directly from the equation. Grade 9 students use it to graph lines quickly, compare relationships, and model real-world situations.
These worksheets ask students to identify slope and intercept, write equations from graphs or tables, rearrange simple equations into slope-intercept form, and interpret what m and b mean in context. Students learn that a phone plan with a fixed fee and a monthly rate, or a distance-time graph with an initial distance and constant speed, can both be represented by y = mx + b. This fluency is essential for linear modelling and future work with functions.
Skills Practised
- Identifying m and b in y = mx + b
- Graphing a line from slope and y-intercept
- Writing equations from graphs and tables
- Rearranging linear equations into slope-intercept form
- Interpreting slope and intercept in context
Parent Tip: You may not be able to check every algebra step, but the answer key shows the final equation. Ask your teen to point to the slope and intercept on the graph, or use photo checking for the rearranging steps.