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Chapter 3: 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. $$(4,-2) \text { and }(3,-2)$$

Short Answer

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

Step by step solution

01

Identify the coordinates

The coordinates given are (4, -2) and (3, -2). We'll denote them as (x1, y1) and (x2, y2) respectively.
02

Apply the Slope Formula

Plug the values into the slope formula: \( m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - (-2)}{3 - 4} = \frac{0}{-1} \)
03

Evaluate the slope

The slope m is 0 which means the line is horizontal and neither rises nor falls.

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Most popular questions from this chapter

What is a \(y\) -intercept of a graph?

What does it mean if the slope of a line is zero?

Describe how to write the equation of a line if two points on the line are known.

Write an equation in slope-intercept form of the line satisfying the given conditions. The line passes through \((-6,4)\) and is perpendicular to the line that has an \(x\) -intercept of 2 and a \(y\) -intercept of \(-4\)

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. In many examples, I use the slope-intercept form of a line's equation to obtain an equivalent equation in point-slope form.
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