Questions: Graph the line. y = 1/2 x + 5

Graph the line. y = 1/2 x + 5
Transcript text: Graph the line. \[ y=\frac{1}{2} x+5 \]
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Solution

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Solution Steps

Step 1: Plotting the y-intercept

The y-intercept is at (0, 5). This is the point where the line crosses the y-axis.

Step 2: Using the slope to determine the direction and steepness of the line

The slope of the line is 0.5, which means for every one unit we move right along the x-axis, we move 0.5 units vertically. Therefore, a second point on the line can be found at (1, 5.5).

Step 3: Drawing the line

A straight line is drawn through these points extending in both directions.

Final Answer: The equation of the line is \(y = 0.5x + 5\).

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