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. $$(4,-2) \text { and }(3,-2)$$
Step-by-Step Solution
Verified Answer
The slope of the line passing through the points (4,-2) and (3,-2) is 0. The line is horizontal.
1Step 1: Identify the coordinates
The coordinates given are (4, -2) and (3, -2). We'll denote them as (x1, y1) and (x2, y2) respectively.
2Step 2: Apply the Slope Formula
Plug the values into the slope formula: \( m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - (-2)}{3 - 4} = \frac{0}{-1} \)
3Step 3: Evaluate the slope
The slope m is 0 which means the line is horizontal and neither rises nor falls.
Other exercises in this chapter
Problem 5
Write the point-slope form of the equation of the line satisfying each of the conditions in Exercises \(1-28 .\) Then use the point-slope form of the equation t
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In Exercises \(1-12,\) find the slope and the \(y\) -intercept of the line with the given equation. $$y=-\frac{1}{2} x+5$$
View solution Problem 5
Plot the given point in a rectangular coordinate system. Indicate in which quadrant each point lies. $$(-3,-1)$$
View solution Problem 6
Write the point-slope form of the equation of the line satisfying each of the conditions in Exercises \(1-28 .\) Then use the point-slope form of the equation t
View solution