Questions: I'm sorry, but you didn't provide any specific question content from the OCR recognized text, only placeholders (O A., O B., O C., O D.) which are typically used for multiple choice answer options. Please provide the specific question content you need extracted.

I'm sorry, but you didn't provide any specific question content from the OCR recognized text, only placeholders (O A., O B., O C., O D.) which are typically used for multiple choice answer options. Please provide the specific question content you need extracted.

Transcript text: I'm sorry, but you didn't provide any specific question content from the OCR recognized text, only placeholders (O A., O B., O C., O D.) which are typically used for multiple choice answer options. Please provide the specific question content you need extracted.

Solution

Solution Steps

Step 1: Identify the equation of the line

The given equation is \( y = \frac{1}{2}x + 3 \).

Step 2: Determine the slope and y-intercept

The slope (m) is \( \frac{1}{2} \) and the y-intercept (b) is 3.

Step 3: Plot the y-intercept

Locate the y-intercept (0, 3) on the graph.

Step 4: Use the slope to find another point

From the y-intercept (0, 3), use the slope \( \frac{1}{2} \) to find another point. Move up 1 unit and right 2 units to get the point (2, 4).

Step 5: Draw the line

Draw a line through the points (0, 3) and (2, 4).

Step 6: Identify the correct graph

Compare the drawn line with the given options (A, B, C, D) to find the matching graph.

Final Answer

The correct graph is A.

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