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Question
a negative slope indicates the line is. a slope of \\(\frac{1}{5}\\) means for every 5 units moved horizontally, the line rises. to calculate the slope, subtract the y - values to find the. to calculate the slope, subtract the x - values to find the
First Question:
A negative slope means as \( x \) increases, \( y \) decreases, so the line is decreasing (going down from left to right).
Step1: Recall slope formula
The slope \( m \) is defined as \( m=\frac{\text{rise}}{\text{run}} \), where rise is the vertical change and run is the horizontal change.
Step2: Analyze slope \( \frac{1}{5} \)
For a slope of \( \frac{1}{5} \), \( \text{rise} = 1 \) and \( \text{run}=5 \). So for every 5 units moved horizontally (run), the line rises 1 unit.
To calculate slope \( m=\frac{y_2 - y_1}{x_2 - x_1} \), subtracting \( y \)-values (\( y_2 - y_1 \)) gives the vertical change (rise).
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decreasing (or going down from left to right)