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Chapter 0: Problem 3

Find the slope of the line passing through the pair of points. \((1.2,3.6)\) and \((3.2,1.4)\)

Short Answer

Expert verified
The slope of the line passing through the points $(1.2, 3.6)$ and $(3.2, 1.4)$ is \(-1.1\).

Step by step solution

01

Identify the coordinates of each point

For point 1: \(x_{1} = 1.2\) and \(y_{1} = 3.6\) For point 2: \(x_{2} = 3.2\) and \(y_{2} = 1.4\)
02

Substitute the coordinates into the slope formula

Slope = \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\) Slope = \(\frac{1.4 - 3.6}{3.2 - 1.2}\)
03

Calculate the difference in y values

Slope = \(\frac{-2.2}{3.2 - 1.2}\)
04

Calculate the difference in x values

Slope = \(\frac{-2.2}{2}\)
05

Simplify the fraction

Slope = \(-1.1\) The slope of the line passing through the points (1.2, 3.6) and (3.2, 1.4) is \(-1.1\).

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