Introduction to Linear Graphs

Name:

Date:

📚 Part 1: Knowledge Check

1. What is the slope (m) of the line y = 2x + 3?

-2

1/2

2. What is the y-intercept (c) of y = -1/2 x + 4?

-1/2

-4

3. If the slope m = 0, the graph of y = mx + c is a:

Horizontal line

Vertical line

Diagonal rising line

Single point

4. Check all equations that have a positive slope:

y = 3x − 1

y = −2x + 5

y = 0x + 2

y = 1/4 x − 3

✏️ Part 2: Apply and Reflect

WALT: We Are Learning To understand the basics of linear graphs: plot points, identify slope and y-intercept, and draw a line from an equation.

Success criteria: I can accurately plot points for a linear equation, state the slope and intercept from y = mx + c, and sketch the corresponding line.

Differentiation strategies: Support: use a completed template and graphing calculator; Extension: change m and compare steepness; Visual/kinesthetic: large classroom grid activity.

5. For y = −2x + 1, write the slope and the y-intercept.

Slope (m) = ____

y-intercept (c) = ____

6. Use y = x − 2. Calculate y for each x, then plot the points on your graph paper.

x = −1, y = _____

x = 0, y = _____

x = 2, y = _____

7. Match each equation (left) with the best description of its graph (right). Draw lines to match.

A. y = 4x + 0

B. y = −1/2 x + 3

C. y = 0x + 3

D. y = x + 5