Question

y = \frac{1}{2}x + 4\
click to select points on the graph.

Explanation:

Step1: Check x=6 in the equation

The equation is \( y = \frac{1}{2}x + 4 \). Substitute \( x = 6 \) into the equation.
\( y=\frac{1}{2}\times6 + 4=3 + 4 = 7 \). Wait, but let's check other values. Wait, maybe the user wants to verify the table. Wait, for x=4: \( y=\frac{1}{2}\times4+4 = 2 + 4=6 \), correct. For x=6: \( y=\frac{1}{2}\times6 + 4=3 + 4 = 7 \), correct. For x=10: \( y=\frac{1}{2}\times10+4 = 5 + 4=9 \), correct. Wait, maybe the problem is to check the y - values. But the table has 6,7,9 which match the equation. Wait, maybe the question is about finding the correct y - value for a given x or verifying. Since the equation is \( y=\frac{1}{2}x + 4 \), let's re - check each x:

• For \( x = 4 \): \( y=\frac{1}{2}(4)+4=2 + 4 = 6 \) (matches the table).
• For \( x = 6 \): \( y=\frac{1}{2}(6)+4=3 + 4 = 7 \) (matches the table).
• For \( x = 10 \): \( y=\frac{1}{2}(10)+4=5 + 4 = 9 \) (matches the table).

So the y - values in the table are correct as per the linear equation \( y=\frac{1}{2}x + 4 \).

Answer:

The y - values in the table (6 for x = 4, 7 for x = 6, 9 for x = 10) are correct according to the equation \( y=\frac{1}{2}x + 4 \).