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Find the slope of a line parallel to each given line 13) y=(1)/(5)x A) (1)/(5) B) -5 C) 5 D) -(1)/(5)

Problemas

Find the slope of a line parallel to each given line
13) y=(1)/(5)x
A) (1)/(5)
B) -5
C) 5
D) -(1)/(5)

Find the slope of a line parallel to each given line 13) y=(1)/(5)x A) (1)/(5) B) -5 C) 5 D) -(1)/(5)

Solución

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Omarprofessionell · Tutor durante 6 años
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A) \(\frac{1}{5}\)

Explicar

## Step 1<br />The slope of a line is represented by the coefficient of \(x\) in the equation of the line when it is written in slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.<br /><br />## Step 2<br />In the given equation \(y = \frac{1}{5}x\), the coefficient of \(x\) is \(\frac{1}{5}\), which is the slope of the line.<br /><br />## Step 3<br />Lines that are parallel to each other have the same slope. Therefore, the slope of a line parallel to the given line would also be \(\frac{1}{5}\).
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