Question

Points are collinear if they lie on the same line. Use the slope formula to determine if the points are collinear. $$(-2,-2),(0,-3),(-4,-1)$$

Name: Problem 26, Chapter 2: Intermediate Algebra
Uploaded: 2020-07-11T05:48:50-08:00
Duration: 1 min 53 s
Channel: Ankit Gupta
Description: Points are collinear if they lie on the same line. Use the slope formula to determine if the points are collinear. (-2,-2),(0,-3),(-4,-1)

   Points are collinear if they lie on the same line. Use the slope formula to determine if the points are collinear. 
$$(-2,-2),(0,-3),(-4,-1)$$

Intermediate Algebra

Julie Miller, Molly… 5th Edition

Chapter 2, Problem 26

Instant Answer

Solved by Expert Ankit Gupta

07/11/2020

Step 1

The slope formula is given by: \[m = \frac{y_2 - y_1}{x_2 - x_1}\] where $(x_1, y_1)$ and $(x_2, y_2)$ are the coordinates of two points. Show more…

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Points are collinear if they lie on the same line. Use the slope formula to determine if the points are collinear. $$(-2,-2),(0,-3),(-4,-1)$$

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Key Concepts

Collinearity

Collinearity refers to the condition where multiple points lie on the same straight line. In coordinate geometry, checking for collinearity means verifying whether all the points align along one linear equation or path.

Slope

The slope of a line is a measure of its steepness and direction. It is calculated as the ratio of the vertical change to the horizontal change between any two points on the line. This concept is fundamental to understanding how one set of points can define a linear relationship.

Slope Formula

The slope formula, given by (y? - y?) / (x? - x?), is used to compute the slope between any two points in a Cartesian plane. When determining collinearity, if the computed slopes between different pairs of points are equal, it confirms that all points lie on the same line.

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