Questions: y=7x+9 Select the line that is parallel y=2x+9 y=-1/7 x+6 y=1/7 x-3 y=7x+7 y=x+1/7 y=3x+7

Transcript text: y=7 x+9 Select the line that is parallel y=2 x+9 y=-\frac{1}{7} x+6 y=\frac{1}{7} x-3 y=7 x+7 y=x+\frac{1}{7} y=3 x+7

Solution

Solution Steps

To find a line that is parallel to a given line, we need to identify lines with the same slope. The given line is \( y = 7x + 9 \), which has a slope of 7. We will check each of the provided lines to see which one has a slope of 7.

Step 1: Identify the Slope of the Given Line

The equation of the given line is \( y = 7x + 9 \). The slope of this line is 7.

Step 2: Compare Slopes of Other Lines

We need to find a line from the list that has the same slope as the given line. The lines provided are:

\( y = 2x + 9 \) with a slope of 2
\( y = -\frac{1}{7}x + 6 \) with a slope of \(-\frac{1}{7}\)
\( y = \frac{1}{7}x - 3 \) with a slope of \(\frac{1}{7}\)
\( y = 7x + 7 \) with a slope of 7
\( y = x + \frac{1}{7} \) with a slope of 1
\( y = 3x + 7 \) with a slope of 3

Step 3: Identify the Parallel Line

The line that has the same slope as the given line is \( y = 7x + 7 \), which also has a slope of 7.

Final Answer

The line that is parallel to the given line is \( y = 7x + 7 \).

\[ \boxed{y = 7x + 7} \]

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