Allan Wyatt
08/13/2024 · High School

Identify the line as either vertical or horizontal. \( 3 x+4=10 \)

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To identify whether the line represented by the equation \( 3x + 4 = 10 \) is vertical or horizontal, we first need to rearrange the equation into a more recognizable form. 1. Start with the given equation: \[ 3x + 4 = 10 \] 2. Subtract 4 from both sides: \[ 3x = 10 - 4 \] \[ 3x = 6 \] 3. Now, divide both sides by 3: \[ x = 2 \] The equation \( x = 2 \) represents a vertical line where all points on the line have an x-coordinate of 2, regardless of the y-coordinate. Thus, the line represented by the equation \( 3x + 4 = 10 \) is a **vertical line**.

Quick Answer

The line is vertical.
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