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Linear Equations Graphing

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Linear Equations Graphing worksheet preview
Linear Equations Graphing

Linear Equations Graphing

Linear equations and coordinate graph illustration

📊 Part 1: Understanding Linear Equations

1. Circle the correct linear equation format:

y = mx + c

x = y + m

m = y + x

c = mx + y

2. For the equation y = 2x + 1, what does the number 2 represent?
3. For the equation y = 3x + 5, what does the number 5 represent?

🔢 Part 2: Creating Tables of Values

4. Complete the table for the equation y = 2x + 3:
xy = 2x + 3y
0y = 2(0) + 3 = ________
1y = 2(1) + 3 = ________
2y = 2(2) + 3 = ________
3y = 2(3) + 3 = ________
4y = 2(4) + 3 = ________
5. Complete the table for the equation y = x + 4:
xCalculationy
0____________________
1____________________
2____________________
3____________________
5____________________
6. What pattern do you notice in the y-values for question 4?

📍 Part 3: Coordinate Pairs and Plotting

7. Using your table from question 4, write the coordinate pairs (x, y):

When x = 0, y = ____, so the coordinate pair is ( ____, ____ )

When x = 1, y = ____, so the coordinate pair is ( ____, ____ )

When x = 2, y = ____, so the coordinate pair is ( ____, ____ )

When x = 3, y = ____, so the coordinate pair is ( ____, ____ )

When x = 4, y = ____, so the coordinate pair is ( ____, ____ )

8. Plot the points from question 7 on the coordinate grid below and connect them with a straight line:

Use this space to draw your coordinate grid and plot the points

9. What shape do the connected points make?

A curved line

A straight line

A circle

A zigzag pattern

🧮 Part 4: Problem Solving

10. For the equation y = 3x + 2, find the y-value when x = 6:
11. Check all the coordinate pairs that would lie on the line y = x + 1:

(0, 1)

(2, 3)

(3, 5)

(4, 5)

(5, 6)

12. A mobile phone plan costs $20 plus $5 per gigabyte of data. Write this as a linear equation where y = total cost and x = gigabytes used:
13. Using your equation from question 12, how much would it cost for 8 gigabytes of data?

🔗 Part 5: Making Connections

14. Match each equation component with its meaning:
1. y = mx + c
2. The 'm' value
3. The 'c' value
4. Coordinate pair
A. Where the line crosses the y-axis
B. The slope or gradient of the line
C. Standard form of linear equation
D. A point written as (x, y)
15. Explain in your own words how an equation, table of values, and graph are all connected:
16. Why do the points on a linear equation always form a straight line when plotted on a graph?

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