Problem

Question 5(Multiple Choice Worth 2 points) (Slope MC) What is the slope of the line that contains the points $\left(-3,-\frac{5}{2}\right)$ and $(3,-8)$ ? $-\frac{11}{4}$ $-\frac{11}{12}$ $\frac{11}{4}$ $\frac{11}{12}$

Solution

Step 1 :The slope of a line that contains two points \((x_1, y_1)\) and \((x_2, y_2)\) can be calculated using the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Step 2 :Substitute the given points into this formula to find the slope: \[ m = \frac{-8 - (-\frac{5}{2})}{3 - (-3)} \]

Step 3 :The slope of the line is a negative decimal number. To match it with the options given in the question, we need to convert this decimal into a fraction.

Step 4 :The slope of the line that contains the points \((-3,-\frac{5}{2})\) and \((3,-8)\) is \(\boxed{-\frac{11}{12}}\).

From Solvely APP
Source: https://solvelyapp.com/problems/20584/

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