What happens if the slopes are the same

It will allow you to check and see if you have an understanding of these types of problems. Math works just like anything else, if you want to get good at it, then you need to practice it. Even the best athletes and musicians had help along the way and lots of practice, practice, practice, to get good at their sport or instrument.

In fact there is no such thing as too much practice. At the link you will find the answer as well as any steps that went into finding that answer. Practice Problems 1a - 1c: Find the slope of the line that is a parallel and b perpendicular to the given line. Need Extra Help on these Topics? All rights reserved.

After completing this tutorial, you should be able to: Find the slope of a line that is parallel to a given line. This tutorial looks at the relationship between the slopes of parallel lines as well as perpendicular lines. In other words, perpendicular slopes are negative reciprocals of each other. If you need more of a review on how to use this form, feel free to go to Tutorial Equations of Lines. If your linear equation is written in this form, m represents the slope and b represents the y -intercept.

Example 1 : Find the slope of any line that is a parallel and b perpendicular to the line. Before we tackle finding the parallel and perpendicular slopes it really can help us out if we find the slope of the given line.

Lining up the form with the equation we have been given, can you see what the slope is? Example 2 : Find the slope of the line that is a parallel and b perpendicular to the line. Lining up the form with the equation we got, can you see what the slope is? Example 3 : Find the slope of the line that is a parallel and b perpendicular to the line. Do you remember what special type of line this equation is? It is a vertical line. If you need a review on vertical lines, feel free to go to Tutorial Graphing Lines.

Example 4 : Find the slope of the line that is a parallel and b perpendicular to the line. It is a horizontal line. If you need a review on horizontal lines, feel free to go to Tutorial Graphing Lines. We can use this form to plug into when we need to come up with a linear equation. Horizontal and vertical lines are always perpendicular: therefore, two lines, one of which has a zero slope and the other an undefined slope are perpendicular. Figure 1 Determining which sides, if any, of a quadrilateral are parallel or perpendicular.

Previous Slope of a Line. Next Equations of Lines. Removing book from your Reading List will also remove any bookmarked pages associated with this title. If the slopes are the same and the y -intercepts are different, the lines are parallel.

If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect. Their intersection forms a right, or degree, angle. The two lines in Figure 20 are perpendicular. Perpendicular lines do not have the same slope. The slopes of perpendicular lines are different from one another in a specific way.

The slope of one line is the negative reciprocal of the slope of the other line. The product of a number and its reciprocal is 1. To find the reciprocal of a number, divide 1 by the number.

To find the negative reciprocal, first find the reciprocal and then change the sign. As with parallel lines, we can determine whether two lines are perpendicular by comparing their slopes, assuming that the lines are neither horizontal nor perpendicular.