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Find the slope, if it exists, of the line containing the given pair of points. Select the correct choice below, and fill in the answer box if necessary. A. The slope is (Type an integer or a simplified fraction.) B. The slope of this line is not defined.

Ask by Lyons Cervantes. in the United States
Feb 04,2025

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Cannot determine the slope with the given information.

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Beyond the Answer

To find the slope of the line containing two points (let's call them (x₁, y₁) and (x₂, y₂)), you use the formula: slope (m) = (y₂ - y₁) / (x₂ - x₁). If the x-coordinates (x₁ and x₂) are the same, the slope is undefined because it would involve division by zero. So if you find that the two points share the same x-value, you can confidently say that the slope of this line is not defined. In practice, knowing how to find the slope can help you understand the steepness of a line on a graph. For example, if you're figuring out how to ramp up your skateboard on a hill or the angle of a roof when building something, the slope can give you crucial insights into that angle of ascent or descent!

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