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Find the SLOPE of the line through the two points: (6, – 2) and (9, – 6)

Find the SLOPE of the line through the two points: (6, – 2) and (9, – 6)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
**Problem: Finding the Slope of a Line** To find the **slope** of the line that passes through the two points, use the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Given points: \((x_1, y_1) = (6, -2)\) \((x_2, y_2) = (9, -6)\) Plug the coordinates into the formula: \[ m = \frac{-6 - (-2)}{9 - 6} = \frac{-6 + 2}{9 - 6} = \frac{-4}{3} \] So, the slope of the line is \(-\frac{4}{3}\).
Transcribed Image Text:**Problem: Finding the Slope of a Line** To find the **slope** of the line that passes through the two points, use the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Given points: \((x_1, y_1) = (6, -2)\) \((x_2, y_2) = (9, -6)\) Plug the coordinates into the formula: \[ m = \frac{-6 - (-2)}{9 - 6} = \frac{-6 + 2}{9 - 6} = \frac{-4}{3} \] So, the slope of the line is \(-\frac{4}{3}\).
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