Question

precision complete the table.

x | 0 | 3
$y = \frac{1}{3}x + 2$ | $\square$ | $\square$

plot the ordered pairs and draw the graph of the linear equation.

graphing interface with line, undo, redo, reset buttons and a coordinate grid from -4 to 4 on both axes

Explanation:

Step1: Substitute \( x = 0 \) into the equation

We have the equation \( y=\frac{1}{3}x + 2 \). When \( x = 0 \), we substitute \( x \) with 0 in the equation:
\( y=\frac{1}{3}(0)+2 \)
\( y = 0 + 2=2 \)

Step2: Substitute \( x = 3 \) into the equation

When \( x = 3 \), we substitute \( x \) with 3 in the equation \( y=\frac{1}{3}x + 2 \):
\( y=\frac{1}{3}(3)+2 \)
First, calculate \( \frac{1}{3}(3)=1 \), then \( y = 1+2 = 3 \)

Answer:

For \( x = 0 \), \( y = 2 \); for \( x = 3 \), \( y = 3 \). So the completed table has values 2 (when \( x = 0 \)) and 3 (when \( x = 3 \)) in the \( y=\frac{1}{3}x + 2 \) row.