Equations of lines come in several different forms.

Parallel Lines and Their Slopes In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts.

Perpendicular Lines and Their Slopes 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 This form can be handy if you need to find the slope of a line given the equation. 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. If you said -7, you are correct!!! Slope of the parallel line: Since parallel lines have the same slope what do you think the slope of any parallel line to this line is going to be?

Pat yourself on the back if you said Slope of the perpendicular line: Since the slopes of perpendicular lines are negative reciprocals of each other, what do you think the slope of any perpendicular line to this line is?

Find the slope of the line that is a parallel and b perpendicular to the line. Since parallel lines have the same slope what do you think the slope of the parallel line is going to be?

Since the slopes of perpendicular lines are negative reciprocals of each other, what do you think the slope of the perpendicular line is?

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 What is the slope of a vertical line? If you said undefined, you are right on. Since parallel lines have the same slope, what do you think the slope of the parallel line is going to be?

Pat yourself on the back if you said undefined. Since slopes of perpendicular lines are negative reciprocals of each other, what do you think the slope of the perpendicular line is?

This one is a little trickier. Vertical lines and horizontal lines are perpendicular to each other. The slope of the perpendicular line in this case would be the slope of a horizontal line which would be 0.

The slope of the parallel line is undefined and the slope of the perpendicular line is 0. It is a horizontal line. If you need a review on horizontal lines, feel free to go to Tutorial What is the slope of a horizontal line?

If you said 0, you are right on. Pat yourself on the back if you said 0. The slope of the perpendicular line in this case would be the slope of a vertical line which would be undefined.

The slope of the parallel line is 0 and the slope of the perpendicular line is undefined. When writing an equation of a line, keep in mind that you ALWAYS need two pieces of information when you go to write an equation: What are the two things we need to write an equation of a line????

If you said any point on the line and the slope, you are correct. We have a point, however what about the slope? You are not going to get off that easily.

We need to do a little digging to get our slope. As mentioned above, parallel lines have the same slope. So, if we know the slope of the line parallel to our line, we have it made.Algebra > Lines > Finding the Equation of a Line Given a Point and a Slope.

Page 1 of 2. Finding the Equation of a Line Given a Point and a Slope. use to find the equation of a line: It's called the point-slope formula (Duh!) You are going to use this a LOT!

Luckily, it's pretty easy -- let's just do one. Learn why the Common Core is important for your child. What parents should know; Myths vs.

facts. You may already be familiar with the "y=mx+b" form (called the slope-intercept form of the equation of a line). It is the same equation, in a different form!

The "b" value (called the y-intercept) is where the line crosses the y-axis. Using the Point-Slope Form of a Line Another way to express the equation of a straight line.

Point-slope refers to a method for graphing a linear equation on an x-y axis. When graphing a linear equation, the whole idea is to take pairs of . Using the Point-Slope Form of a Line Another way to express the equation of a straight line. Point-slope refers to a method for graphing a linear equation on an x-y axis.

When graphing a linear equation, the whole idea is to take pairs of x's and y's and plot them on the graph.

From the SparkNotes Blog |
Point slop is one of the method used to find the straight line equation. |

SparkNotes: Writing Equations: Point-Slope Form |
Using the Point-Slope Form of a Line Another way to express the equation of a straight line Point-slope refers to a method for graphing a linear equation on an x-y axis. |

Point-Slope Form |
Point-slope form linear equations Video transcript So what I've drawn here in yellow is a line. And let's say we know two things about this line. |

Distance Formula |
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Find the Equation of a Straight Line |
Let's quickly review the steps for writing an equation given two points: Find the slope using the slope formula. |

In the last lesson, I showed you how to get the equation of a line given a point and a slope using the formula. Anytime we need to get the equation of a line, we need two things.

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Point Slope Form | Free Math Help