Questions: Find the slope determined by the following pair of points. (-3,-4),(3,-2)

Find the slope determined by the following pair of points. (-3,-4),(3,-2)
Transcript text: Find the slope determined by the following pair of points. $(-3,-4),(3,-2)$
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Solution

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Solution Steps

Step 1: Identify the given points

The given points are \((-3, -4)\) and \((3, -2)\).

Step 2: Use the slope formula

The slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Step 3: Substitute the coordinates into the formula

Substitute \((x_1, y_1) = (-3, -4)\) and \((x_2, y_2) = (3, -2)\) into the formula: \[ m = \frac{-2 - (-4)}{3 - (-3)} \] \[ m = \frac{-2 + 4}{3 + 3} \] \[ m = \frac{2}{6} \] \[ m = \frac{1}{3} \]

Final Answer

The slope is \(\frac{1}{3}\).

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