Find the slope of the line parallel to $y=5x+\frac{22}{7}$

• A. $-5$
• B. $\frac{22}{7}$
• C. $5$
• D. $-\frac{22}{7}$

Answer: (C)

Verified step by step guidance

1. Identify the given equation of the line: \(y = 5x + \frac{22}{7}\). This is in slope-intercept form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
2. Recall that lines that are parallel have the same slope. Therefore, the slope of any line parallel to the given line will be the same as the slope of the given line.
3. From the equation \(y = 5x + \frac{22}{7}\), extract the slope \(m = 5\).
4. Conclude that the slope of the line parallel to the given line is \$5$.
5. Note that the y-intercept does not affect the slope, so it can be any value without changing the slope of the parallel line.