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Chapter 2: Problem 5

Find the slope of the line passing through each pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. $$(4,-2)\( and \)(3,-2)$$

Short Answer

Expert verified
The slope of the line passing through the points (4,-2) and (3,-2) is 0, and the line is horizontal.

Step by step solution

01

Identify the given points

The given points are (4,-2) and (3,-2) where (4,-2) is (x1,y1) and (3,-2) is (x2,y2).
02

Calculate the slope

Using the slope formula, substitute the coordinates of the two points into the formula \( m = \frac{-2 - (-2)}{3-4} = \frac{0}{-1}\). The slope m simplifies to 0.
03

Determine the slope nature

Since the slope \( m = 0 \), it indicates that the line is horizontal.

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