Allan Wyatt
08/13/2024 · High School
Identify the line as either vertical or horizontal. \( 3 x+4=10 \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
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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