3.01 Graphing Linear Equations Using a Table of Values

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Graphing Linear Equations Using a Table of Values Guided Practice

Practice Problem #1

Complete the table for the given equation. Then, plot the coordinates on the coordinate plane.

y = 3x − 4

Enter the x-values into the equation and evaluate for y.

X-Y Table for Practice Problem #1

x	y
−3	blank
−2	blank
0	blank
2	blank
5	blank

X-Y Table for Practice Problem #1: Answers

x	y
−3	−13
−2	−10
0	−4
2	2
5	11

Draw a coordinate plane in your notebook and graph the points.

Answer:

Practice Problem #2

Complete the table for the given equation. Then, plot the coordinates on the coordinate plane.

y = x + 7

Enter the x-values into the equation and evaluate for y.

X-Y Table for Practice Problem #2

x	y
−2	blank
0	blank
3	blank
5	blank

X-Y Table for Practice Problem #2: Answers

x	y
−2	5
0	7
3	10
5	12

Draw a coordinate plane in your notebook and graph the points.

Answer:

Matching

Match each equation to its graph.

Hint: You can determine the correct matches by plugging in both the x and y coordinates to check if they work in the equation. For example, if the equation is y = 2x + 3 and we choose the point (3,4) from one of the lines on the existing graphs, we'll plug in the (3,4) coordinates to check if it will work in our equation.

• y = 2x + 3,where y = 4 and x = 3
• 4 = 2(3) + 3
• 4 = 6 + 3
• 4 = 9
• This statement is not true, therefore this is not the correct equation for the line that you chose.

Equations:

1. y − x = 6
2. y = 3x − 5
3. y = −x + 3
4. y = 4x + 3
5. y = −3x + 5

Graphs:

• Graph A:

  

• Graph B:

  

• Graph C:

  

• Graph D:

  

• Graph E:

  

Answers:

1. y − x = 6

   Answer:

   

2. y = 3x − 5

   Answer:

   

3. y = −x + 3

   Answer:

   

4. y = 4x + 3

   Answer:

   

5. y = −3x + 5

   Answer:

   

You've completed these review activities!