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11.) A line has a slope of 5 and a \( y \)-intercept of 10 . Which line has a rate of change is less than this line's rate of change? A.) \( y=5 x-3 \) B.) \( g=10 x+3 \) C.) \( y=6 x+10 \) D.) \( g=2 x-4 \)

Ask by Hodges Page. in the United States
Jan 21,2025

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D.) \( g = 2x - 4 \) has a slope of 2, which is less than the given slope of 5.

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Bonus Knowledge

The line given has a slope of 5, which indicates a rate of change of 5. To find a line with a lower rate of change, we can evaluate the slopes of the options provided. Looking at option D, \( g=2 x-4 \), the slope is 2, which is indeed less than 5. Therefore, this line has a rate of change that is less than that of the original line. For those interested in understanding slopes better, remember that the steeper the line, the greater the rate of change! So, a positive slope means that as you move from left to right on the graph, the line goes up. On the flip side, a slope of 0 means a flat line, and negative values indicate a downward trend. Happy graphing!

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