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Chapter 1: Problem 33

Plot the points and find the slope of the line passing through the pair of points. $$(4.8,3.1),(-5.2,1.6)$$

Short Answer

Expert verified
The slope of the line passing through given points (4.8,3.1) and (-5.2,1.6) is \(m=\frac{5}{20} = 0.25\).

Step by step solution

01

Plot the Points

Put the given points on a Cartesian coordinate system: The first point (4.8, 3.1) and the second point (-5.2, 1.6)
02

Calculation of the Slope

Use the slope formula \(m=\frac{y_2-y_1}{x_2-x_1}\) to calculate the slope. Here, \((x_1,y_1) = (4.8,3.1)\) and \((x_2,y_2) = (-5.2,1.6)\). Thus, the slope of the line is \(m=\frac{1.6-3.1}{-5.2 - 4.8}\)
03

Simplification of the Slope

Simplify the above expression to get the final value for the slope.
04

Summary

After plotting the points and calculating the slope of the line passing through them, one can summarize the results and understand better the 2-dimensional geometry.

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