Question What is the slope of the line that passes through the points \( (-4,2) \) and \( (-5,0) \) ? Write your answer in simplest form. Answer Attempt 1 out of 3 Show Examples undefined
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To find the slope of the line that passes through two points, you can use the formula: \( m = \frac{y_2 - y_1}{x_2 - x_1} \). Here, using the points \( (-4, 2) \) and \( (-5, 0) \), you have \( y_1 = 2, y_2 = 0, x_1 = -4, x_2 = -5 \). Plugging in these values, you get \( m = \frac{0 - 2}{-5 - (-4)} = \frac{-2}{-1} = 2 \). So the slope is \( 2 \) in its simplest form! The concept of slope not only helps in graphing but is also foundational in many real-world contexts, such as architecture, economics, and even in analyzing trends in data over time. For instance, if you’re plotting a sales growth chart, the slope will tell you how steeply sales are increasing, helping businesses make informed decisions.
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