Questions: What is the slope of the line containing (-3,1) and (1,-2) ? A. -4/3 B. 4/3 C. 3/4 D. -3/4

What is the slope of the line containing (-3,1) and (1,-2) ? A. -4/3 B. 4/3 C. 3/4 D. -3/4
Transcript text: Question 14 of 25 What is the slope of the line containing $(-3,1)$ and $(1,-2)$ ? A. $-\frac{4}{3}$ B. $\frac{4}{3}$ C. $\frac{3}{4}$ D. $-\frac{3}{4}$
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Solution

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Solution Steps

Step 1: Identify the given points

The given points are \((x_1, y_1) = (-3, 1)\) and \((x_2, y_2) = (1, -2)\).

Step 2: Apply the slope formula

The slope \(m\) of the line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by the formula: \[m = \frac{y_2 - y_1}{x_2 - x_1}\]

Step 3: Substitute the given values into the formula

Substituting the given values into the formula, we get: \[m = \frac{-2 - 1}{1 + 3}\]

Step 4: Perform the calculation

After performing the calculation, the slope \(m\) is found to be -0.75.

Final Answer:

The slope of the line passing through the points \((-3, 1)\) and \((1, -2)\) is -0.75.

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