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

you're familiar with parallel and perpendicular lines, you should be able to solve this problem pretty quick. So here we're told to find the slope of the line parallel to y equals five x plus 22 over seven. Now the thing you need to recall is that for lines to be parallel, they have to have the same slope. So the slope of the line that is going to be parallel to this line that has a slope of five is going to also have a slope of five. Remember, these are in the form y equals m x plus b, where m is the slope. So therefore, we found our slope and the solution to this problem. Hope you found this video helpful.

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Slope-Intercept Form

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Multiple Choice

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

$negative 5$

$22 over 7$

$5$

$- \frac{22}{7}$

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Verified step by step guidance

Identify the slope of the given line from its equation. The equation is given in slope-intercept form $y = mx + b$, where $m$ is the slope. For the line $y = 5x + \frac{22}{7}$, the slope $m$ is 5.

Recall that lines that are parallel have the same slope. This means the slope of any line parallel to the given line will also be 5.

Therefore, the slope of the line parallel to $y = 5x + \frac{22}{7}$ is simply the same slope, which is 5.

Note that the y-intercept (the $b$ value) does not affect the slope, so it is not needed to find the slope of the parallel line.

Summarize: To find the slope of a line parallel to a given line, extract the slope from the original line's equation and use that same slope for the parallel line.