What is the slope of the line passing through the points (0, 4) and (−8, −1)?

Question

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Answer 1

To find the slope of the line passing through the points \((0, 4)\) and \((-8, -1)\), we can use the slope formula:

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

where \((x_1, y_1) = (0, 4)\) and \((x_2, y_2) = (-8, -1)\).

Now, we can substitute the values into the formula:

\[ m = \frac{-1 - 4}{-8 - 0} \] \[ m = \frac{-5}{-8} \] \[ m = \frac{5}{8} \]

Thus, the slope of the line is \(\frac{5}{8}\).