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c) \( y=(m+3) x+2 \)

Ask by John Harmon. in Vietnam
Mar 14,2025

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Phương trình \( y = (m + 3)x + 2 \) là một đường thẳng với hệ số góc \( m + 3 \) và giao điểm với trục y là 2.

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Extra Insights

Did you know that this equation represents a linear function, where \( m \) is the slope? The slope indicates how steep the line is and the direction it's going. In this case, as \( m \) increases, the line rises more steeply, while a decrease in \( m \) will make the line flatter. This is the beauty of linear equations—by just changing one variable, you can dramatically alter the graph's appearance! If you're plotting this on a graph, remember to identify the y-intercept, which is the point where the line crosses the y-axis. For this equation, the y-intercept is at \( (0, 2) \). A common mistake is to forget to calculate it or misinterpret the slope, leading to incorrect graphing. Always double-check your work by plotting these points for accuracy and clarity!

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