Questions: Find the slope of the line passing through the points (-8,-3) and (-3,4).

Transcript text: Find the slope of the line passing through the points $(-8,-3)$ and $(-3,4)$.

Solution

Step 1: Identify the coordinates of the two points

The given points are $(-8, -3)$ and $(-3, 4)$. Let:

Step 2: Use the slope formula

The slope $m$ of a line passing through 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 values into the formula

Substitute the coordinates into the slope formula: \[ m = \frac{4 - (-3)}{-3 - (-8)} = \frac{4 + 3}{-3 + 8} = \frac{7}{5} \]

The slope of the line is $\boxed{m = \frac{7}{5}}$.

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