Complete the table for the equation y = (1)/(2)x + 3.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Complete the table for the equation $y = \frac{1}{2}x + 3$.
For $x = -4$:
$$y = \frac{1}{2}(-4) + 3 = -2 + 3 = 1$$
For $x = -2$:
$$y = \frac{1}{2}(-2) + 3 = -1 + 3 = 2$$
For $x = 0$:
$$y = \frac{1}{2}(0) + 3 = 0 + 3 = 3$$
For $x = 2$:
$$y = \frac{1}{2}(2) + 3 = 1 + 3 = 4$$
For $x = 4$:
$$y = \frac{1}{2}(4) + 3 = 2 + 3 = 5$$
The completed table is:
| x | -4 | -2 | 0 | 2 | 4 |
|---|----|----|---|---|---|
| y | 1 | 2 | 3 | 4 | 5 |
Step 2: Draw the graph of $y = \frac{1}{2}x + 3$ on the provided grid.
Plot the points from the completed table:
$(-4, 1)$
$(-2, 2)$
$(0, 3)$
$(2, 4)$
$(4, 5)$
Draw a straight line connecting these points. The graph shown in the image correctly plots these points and draws the line.
