Questions: 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. $(-3,-4),(3,-2)$

Solution

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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