← Back to Slope-Intercept Form

Slope-Intercept Form - Worksheet 7 - 9th Grade

Medium

Identify slope and y-intercept, or write a linear equation from a slope and a point.

medium: Find the y-intercept from a slope and one point.

24 problems · 20-25 minutes · Skills: linear functions, slope, graphing

About This Worksheet

This medium-level worksheet contains 24 problems designed for 9th Grade students practicing slope-intercept form. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.

Understand coordinates and substitute values into a linear equation.

  • Identify slope and y-intercept, or write a linear equation from a slope and a point.
  • The y-intercept is the value of y when x is zero.

How to Solve: Worked Example

Example Problem: A line has slope 3 and passes through (2, 10). Find its equation.
Solution Steps:
  1. Use y = mx + b and substitute: 10 = 3 × 2 + b.
  2. Subtract 6: b = 4.
  3. Write y = 3x + 4. Check the point: 3 × 2 + 4 = 10.
Answer: y = 3x + 4
Tip: The y-intercept is the value of y when x is zero.
1
Write y = mx + b for a line with slope -4 through (2, 5).
2
Write y = mx + b for a line with slope -8 through (-2, 27).
3
Write y = mx + b for a line with slope -7 through (8, -41).
4
Write y = mx + b for a line with slope -1 through (2, -1).
5
Write y = mx + b for a line with slope 5 through (0, -3).
6
Write y = mx + b for a line with slope -2 through (-7, 13).
7
Write y = mx + b for a line with slope 6 through (-5, -34).
8
Write y = mx + b for a line with slope -6 through (-1, 5).
9
Write y = mx + b for a line with slope -7 through (5, -31).
10
Write y = mx + b for a line with slope 2 through (-4, 5).
11
Write y = mx + b for a line with slope -3 through (0, -6).
12
Write y = mx + b for a line with slope -3 through (6, -29).
13
Write y = mx + b for a line with slope -2 through (0, 15).
14
Write y = mx + b for a line with slope -4 through (1, 9).
15
Write y = mx + b for a line with slope -6 through (-5, 28).
16
Write y = mx + b for a line with slope 3 through (-6, -10).
17
Write y = mx + b for a line with slope 4 through (-2, 4).
18
Write y = mx + b for a line with slope 2 through (0, 10).
19
Write y = mx + b for a line with slope 5 through (-3, -1).
20
Write y = mx + b for a line with slope -5 through (8, -47).
21
Write y = mx + b for a line with slope -5 through (-4, 6).
22
Write y = mx + b for a line with slope 4 through (0, -9).
23
Write y = mx + b for a line with slope -1 through (-3, -2).
24
Write y = mx + b for a line with slope 6 through (3, 9).

Answer Key

1. y = -4x + 132. y = -8x + 113. y = -7x + 154. y = -1x + 15. y = 5x - 36. y = -2x - 17. y = 6x - 48. y = -6x - 19. y = -7x + 410. y = 2x + 1311. y = -3x - 612. y = -3x - 1113. y = -2x + 1514. y = -4x + 1315. y = -6x - 216. y = 3x + 817. y = 4x + 1218. y = 2x + 1019. y = 5x + 1420. y = -5x - 721. y = -5x - 1422. y = 4x - 923. y = -1x - 524. y = 6x - 9

Practice next

Report a question or answer error

Frequently Asked Questions

How do I download this slope-intercept form - worksheet 7 worksheet?

Click "Download PDF" for a file, or "Print" to use your browser. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this functions & relations worksheet cover?

This worksheet focuses on linear functions, slope, graphing. It is designed for 9th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 24 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.