Question

given the function below, fill in the table of values and use the table values to graph.

\\y = x - 2\\

\

$$\begin{array}{|c|c|} \\hline x & y \\\\ \\hline 2 & \\\\ \\hline 3 & \\\\ \\hline 4 & \\\\ \\hline 5 & \\\\ \\hline \\end{array}$$

Explanation:

⚡ Using what you learned: graphing linear equations

Step 1: Calculate the y-values

Substitute each \( x \)-value from the table into the linear equation \( y = x - 2 \):

• For \( x = 2 \):

$$ y = 2 - 2 = 0 $$

• For \( x = 3 \):

$$ y = 3 - 2 = 1 $$

• For \( x = 4 \):

$$ y = 4 - 2 = 2 $$

• For \( x = 5 \):

$$ y = 5 - 2 = 3 $$

Step 2: Complete the table

The completed table of values is:

\( x \)	\( y \)
3	1
4	2
5	3

Step 3: Graph the function

Plot the ordered pairs from the table onto the coordinate plane and draw a straight line through them:

• \( (2, 0) \)
• \( (3, 1) \)
• \( (4, 2) \)
• \( (5, 3) \)

Answer:

Completed Table:

• For \( x = 2 \), \( y = \mathbf{0} \)
• For \( x = 3 \), \( y = \mathbf{1} \)
• For \( x = 4 \), \( y = \mathbf{2} \)
• For \( x = 5 \), \( y = \mathbf{3} \)

Graphing Coordinates:

Plot the points \( (2, 0) \), \( (3, 1) \), \( (4, 2) \), and \( (5, 3) \) on the coordinate grid and connect them with a straight line.