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Chapter 1: Problem 26

Plot the points and find the slope of the line passing through the pair of points. $$(12,0),(0,-8)$$

Short Answer

Expert verified
The slope of the line passing through the points (12, 0) and (0, -8) is \( \frac{2}{3} \).

Step by step solution

01

Plot the points

To plot the points (12, 0) and (0, -8), start at the origin of your graph, move 12 units to the right and mark that point for (12, 0). For the point (0, -8), do not move horizontally but just move 8 units downwards from the origin.
02

Calculate the slope

Use the formula for slope, \( m = {y_2 - y_1} \over {x_2 - x_1} \). Here, \(x_1 = 12, y_1 = 0, x_2 = 0 \), and \(y_2 = -8\). Substitute these values into the formula and solve for m. That gives us \(m = {-8 - 0} \over {0 - 12} = \frac{8}{12} = \frac{2}{3}\). So, the slope of the line passing through points (12, 0) and (0, -8) is \( \frac{2}{3} \).

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