Graphing Linear Equations Worksheet

Name:

Date:

📚 Part 1: WALT, Success Criteria & Quick Questions

WALT: Graph linear equations on a coordinate plane.

Success criteria: I can make a table of values, plot points accurately, draw a straight line through the points and identify slope and y-intercept.

Differentiation & supports: Use colour-coded axes, enlarged grid paper, and step-by-step visuals for learners who need support. Extension: try negative slopes or fractional slopes.

1. Which equation has slope 3?

y = 3x + 1

y = x + 3

y = 1/3 x − 2

2. What is the y-intercept of y = −2x + 4?

−2

3. Which equation describes a line that slopes downwards from left to right?

y = 1/2 x + 2

y = −1/2 x + 2

y = 3x − 1

4. Check all that are linear equations:

y = 2x + 1

y = x^2 + 1

3x + 4y = 12

✏️ Part 2: Tables, Graphing & Short Answers

5. Complete the table for y = 2x + 1. Show your working.

x = −1: y = _______

x = 0: y = _______

x = 1: y = _______

x = 2: y = _______

6. Use the points from Question 5. On the grid below, plot the points and draw the straight line for y = 2x + 1.

7. Find the equation of the line that passes through (0, 3) and (2, 7). Show one step of your working and write the answer in the form y = mx + b.

Working: ________________________________________

Answer: ________________________________________

8. Explain in one sentence: How does increasing the slope (m) affect the steepness of a line?

9. Extension (challenge): Sketch or describe the effect on the graph if the equation y = 2x + 1 changes to y = 2x − 3. What changes and what stays the same?