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Linear Slope and Intercept

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Linear Slope and Intercept worksheet preview

Linear Slope and Intercept

Linear graph illustration

🎯 WALT: Identify slope and y-intercept from linear equations

Success Criteria: I can identify the slope (m) and y-intercept (c) from equations in the form y = mx + c

1. For the equation y = 3x + 5, what is the slope?

3

5

x

y

2. For the equation y = -2x + 7, what is the y-intercept?

-2

2

7

-7

3. Complete the table for each equation:

y = 2x + 1

Slope = _______ Y-intercept = _______

y = -x + 4

Slope = _______ Y-intercept = _______

y = 0.5x - 3

Slope = _______ Y-intercept = _______

📊 WALT: Create tables of values and understand how slope affects graphs

Success Criteria: I can generate tables of values and explain how slope changes affect the steepness of a line

4. Complete the table of values for y = 3x + 2:

x | -1 | 0 | 1 | 2

y | __ | __ | __ | __

5. Which line would be steeper?

y = 5x + 1

y = 2x + 1

6. Explain your answer to question 5:
7. Real-world connection: A mobile phone plan costs $30 per month plus $0.50 per text message.

a) Write this as an equation where y = total cost and x = number of texts:

y = _____________

b) What does the slope represent? _________________________

c) What does the y-intercept represent? ____________________

🎨 WALT: Predict and sketch linear graphs

Success Criteria: I can predict what a linear graph will look like based on its slope and y-intercept

8. Before plotting, predict: Will the line y = -3x + 4 slope upward or downward from left to right?

Upward (because slope is positive)

Downward (because slope is negative)

9. Sketch a rough graph of y = 2x - 1 in the space below. Mark where it crosses the y-axis.
10. Challenge: Write an equation for a line that:

• Has a gentle upward slope

• Crosses the y-axis at 6

My equation: y = _____________

11. Reflection: In your own words, explain what slope tells us about a line:

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