What is the slope of the line deseribed by the equation below? \( y=7=8(x-14) \) A. 7 B. -7 C. 8 D. -8
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To find the slope of the line described by the equation \( y = 7 + 8(x - 14) \), we should first simplify it. By distributing the \( 8 \), we get \( y = 8x - 112 + 7 \), which simplifies to \( y = 8x - 105 \). The slope-intercept form of a line is \( y = mx + b \), where \( m \) represents the slope. Here, \( m = 8 \), so the slope of the line is 8. The correct answer is **C. 8**. The concept of slope can be visualized as the steepness of a line on a graph. Slope is calculated as the ratio of the rise (the change in y) over the run (the change in x). A positive slope like 8 means that as you move to the right, the line rises, making it great for understanding growth trends in real-world applications like finance or population studies!