![intersection parallel fun math illustrations intersection parallel fun math illustrations](https://helpingwithmath.com/wp-content/uploads/2021/03/Parallel-lines-Cut-by-a-Transversal-Worksheets.png)
If you extend the two segments on one side, they will definitely meet at some point as shown below. You can imagine this by drawing two line segments that are not parallel on a board (the intersection may be outside the board). If two lines have different slopes, then definitely they will meet at a certain point. Therefore, for distinct lines to be parallel, their slope (m) must be equal and their y-intercept (b) must be different.Įxercise: Give equations of lines that are parallel to the following lines. If we have two lines having the same slope and intersect the same point on the y-axis, then they are practically the same line (Can you visualize why?). īut what if they have the same b? Are they still parallel? For example, the lines with equationsĪre parallel lines because both of them have. Therefore, we will know that two lines are parallel if they have the same value for when the equations are of the form.
![intersection parallel fun math illustrations intersection parallel fun math illustrations](https://d138zd1ktt9iqe.cloudfront.net/media/seo_landing_files/intersecting-lines-example-1620502488.png)
The y-intercept is the point in the y-axis where the line intersects. In linear equations, recall that in the slope-intercept form, is the slope of the line and is the y-intercept. What we know about parallel lines is that they have same slope. Can we determine if lines are parallel, intersecting, or coinciding based on equations only? Parallel Lines We can examine the three cases mentioned above in terms of equations. We have learned that linear equations can be represented by, where and are real numbers. The equations which represent lines are called linear equations. In Algebra, we have learned that a line can be represented with an equation.
![intersection parallel fun math illustrations intersection parallel fun math illustrations](https://www.homeschoolmath.net/teaching/g/right-angle/intersect.gif)