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Graph this line using the slope and \( y \)-intercept: \[ y=2 x+4 \]

Ask by O'Quinn Luna. in the United States
Jan 23,2025

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To graph the line \( y = 2x + 4 \): 1. Plot the \( y \)-intercept at (0, 4). 2. Use the slope of 2 to find another point, such as (1, 6). 3. Draw a straight line through these points. This line will rise upward as \( x \) increases.

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The Deep Dive

To graph the line represented by the equation \( y=2x+4 \), start by identifying the \( y \)-intercept, which is the point (0, 4). This means the line crosses the \( y \)-axis at 4. Next, use the slope, which is 2, indicating that for every 1 unit you move to the right on the \( x \)-axis, you move 2 units up on the \( y \)-axis. From the point (0, 4), plot another point at (1, 6). Connect these points with a straight line and extend it in both directions. Now, don't forget to label your axes and points for clarity! You can also add a second point by moving from (1, 6) to (2, 8) using the same slope. This helps confirm the correct line placement on your graph. Have fun and let those graph lines shine!

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