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Chapter 1: Problem 32

Plot the points and find the slope of the line passing through the pair of points. $$(0,-10),(-4,0)$$

Short Answer

Expert verified
The slope of the line passing through the points (0,-10) and (-4,0) is -2.5

Step by step solution

01

Plot the points

On an x-y Cartesian coordinate plane, plot the points (0, -10) and (-4, 0). The first number in the pair represents the x-coordinate and the second represents the y-coordinate. In other words, plot the first point at x = 0 and y = -10. Similarly, plot the second point at x = -4 and y = 0.
02

Identify the coordinates

Identify the x and y coordinates for each point. For the first point, \(x_1 = 0\) and \(y_1 = -10\). For the second point, \(x_2 = -4\) and \(y_2 = 0\). These coordinates will be used in the slope formula.
03

Apply the slope formula

Substitute the x and y coordinates from step 2 into the slope formula. This will look as follows: \(m = \frac{(y_2 - y_1)}{(x_2 - x_1)} = \frac{(0 - (-10))}{(-4 - 0)}\)
04

Calculate the slope

Perform the operations in the formula. This gives: \(m = \frac{10}{-4} = -2.5\)

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