Bolton Schmidt
08/20/2023 · Primary School

Find the slope of the line that goes through the given points. \( (0,8) \) and \( (-4,0) \)

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To find the slope of a line that goes through two points, you can use the slope formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] where \( m \) is the slope, and \( (x_1, y_1) \) and \( (x_2, y_2) \) are the coordinates of the two points. Given the points \( (0,8) \) and \( (-4,0) \), let's label them as \( (x_1, y_1) = (0,8) \) and \( (x_2, y_2) = (-4,0) \). Now, plug these values into the slope formula: \[ m = \frac{0 - 8}{-4 - 0} \] \[ m = \frac{-8}{-4} \] \[ m = 2 \] So, the slope of the line that goes through the points \( (0,8) \) and \( (-4,0) \) is \( 2 \).

Quick Answer

The slope is \( 2 \).
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