Non Vertical Line Example

Lesson 16 84 Lesson 16 The Computation of the Slope of a Non-Vertical Line Problem Set 1. Calculate the slope of the line using two different pairs of points. Lesson Summary The slope of a line can be calculated using any two points on the same line because the slope triangles formed are similar, and corresponding sides will be equal in ratio.

Perpendicular Lines Theorem - In a coordinate plane, two non-vertical lines are perpendicular if and only if he product of their slopes is -1. Vertical and horizontal lines are parallel Examples Return to 3.4 Chapter 3 Home Continue to 3.6. Powered by Create your own unique website with customizable templates. Get Started. Photo used under

Mathematics Content Standard Examples 8.EE.6 Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane derive the equation y mx for a line through the origin and the equation y mx b for a line intercepting the vertical axis at b.

Example 1 2 minutes Putting horizontal lines off to the side for a moment, there are two other types of non-vertical lines. There are those that are left-to-right inclining, as in the graph of 1, and those that are left-to-right declining, as in the graph of 2. Both shown below.

Understanding Slope Non Examples. Identifying slope non-examples helps clarify what a slope is not. Here are some common instances Horizontal lines A line that runs parallel to the x-axis has a slope of zero. For example, the equation y 3 represents a horizontal line. Vertical lines Lines perpendicular to the x-axis have an undefined

Conversely, every non-vertical line has an equation of the form y mx b which ts the above description with B 1,A m and C b. If B 0, we can rearrange the equation to the form given below describing a vertical line. If the line is vertical, all of the x values on the line are the same see example below and its equation is of the

The slope of the line is . Example 2 1 minute This example requires students to find the slope a line where the horizontal distance between two points with integer coordinates is fixed at 1. Example 2 . Using what you learned in the last lesson, determine the slope of the line with the following graph The slope of this line is .

Two nonhorizontal, non vertical lines in the -coordinate plane intersect to form a angle. One line has slope equal to times the slope of the other line. What is the greatest possible value of the product of the slopes of the two lines? Solution 1 complex Let the intersection point be the origin. Let be a point on

Example 3 Explains why the slope of lines that are left-to-right declining are negative. Example 4 In general, we describe slope as an integer or a fraction. Exercises 1-6 Use your transparency to find the slope of each line if needed. 1 - 2. What is the slope of this non-vertical line? 3. Which of the lines in Exercises 1 and 2 is steeper?

Lesson 15 The Slope of a Non-Vertical Line. 217 Exit Ticket 3 minutes The slope of the line shown below is , or , because point is at on the -axis. Lesson 15 The Slope of a Non-Vertical Line. 219 Exit Ticket Sample Solutions. 1. What is the slope of this non-vertical line? Use your transparency if needed.