Parallel and perpendicular lines and their slopes

TL;DR

Learn how to find the parallel and perpendicular slopes of a given line by taking the reciprocal and changing the sign.

Transcript

okay suppose you know the slope of our original  line how can you find the slope of a line that's   parallel and also perpendicular to the given  line as you can see already done right here   for you guys the first column is the slope of  the given line the original and you have this   values here and I'm going to ask you guys well  how can we figu... Read More

Key Insights

• 🫥 Parallel slopes are the same, so you can just copy the values from the given line.
• 🤘 To find the perpendicular slope, change the sign and take the reciprocal of the given values.
• 🫥 If the slope is 0, it indicates a vertical line, and a slope of 0 represents a horizontal line.
• ❓ Undefined slopes occur when the denominator of the slope calculation is 0.
• 🫥 Horizontal lines are perpendicular to vertical lines.
• 🤘 Finding parallel and perpendicular slopes involves manipulating the signs and reciprocals of the given values.
• 🫥 Knowing how to find parallel and perpendicular slopes helps in analyzing and determining relationships between different lines.

Questions & Answers

Q: How do you find the parallel slope of a given line?

Finding the parallel slope is as simple as copying the values from the given line. Since parallel slopes are the same, you can just write them down.

Q: How do you find the perpendicular slope of a given line?

To find the perpendicular slope, you need to work out the opposite sign and then take the reciprocal of the given values. For example, if the original slope is -2/5, the perpendicular slope would be 5/2.

Q: What happens when the given slope is 0?

When the slope is 0, it is undefined. This indicates a vertical line. Using the formula -1/0, we see that the denominator being 0 makes the slope undefined.

Q: What does a slope of 0 represent?

A slope of 0 represents a horizontal line. In contrast, a vertical line has an undefined slope.

Summary & Key Takeaways

• To find the parallel slope, simply copy the values from the given line.

• To find the perpendicular slope, change the sign and take the reciprocal of the given values.

• If the slope is 0, it is undefined, indicating a vertical line. A slope of 0 represents a horizontal line.