Question
Find the slope of the line. \( y=0.3 x+2.1 \) Select the correct choice below and, if necessary, fill in
Ask by Hill Gordon. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The slope of the line is 0.3 or \(\frac{3}{10}\).
Solution
Calculate or simplify the expression \( \frac{0.3}{1} \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{0.3}{1}\)
- step1: Convert the expressions:
\(\frac{\frac{3}{10}}{1}\)
- step2: Divide the terms:
\(\frac{3}{10}\)
The slope of the line \( y=0.3x+2.1 \) is \( 0.3 \) or \( \frac{3}{10} \).
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Simplify this solution Beyond the Answer
The slope of the line represented by the equation \( y = 0.3x + 2.1 \) is simply the coefficient of \( x \), which is 0.3. This means for every increase of 1 in \( x \), \( y \) increases by 0.3. To visualize it, you can think of the slope as the "steepness" of the line. A positive slope of 0.3 indicates a gentle upward tilt. If the slope were steeper, say 2 or 3, the line would incline much more sharply!
