Problem 5
Question
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)$$
Step-by-Step Solution
Verified Answer
The slope of the line passing through the points (4,-2) and (3,-2) is 0, and the line is horizontal.
1Step 1: 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).
2Step 2: 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.
3Step 3: Determine the slope nature
Since the slope \( m = 0 \), it indicates that the line is horizontal.
Other exercises in this chapter
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