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\( \mid<\quad \) Write an equation of the line with the given slope, \( m \), and \( y \)-intercept \( (0, b) \).

Ask by Mccoy French. in the United States
Mar 11,2025

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The equation of the line is \( y = mx + b \).

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To write the equation of a line based on the slope \( m \) and the \( y \)-intercept \( b \), you can use the slope-intercept form of the equation: \( y = mx + b \). Simply plug in your values for \( m \) and \( b \). For example, if the slope is 3 and the \( y \)-intercept is 2, the equation will be \( y = 3x + 2 \). Voila, you’ve just crafted your linear masterpiece! Curiously, this format isn’t just academic; it applies to everyday life! For instance, when you're plotting a budget, you can represent income and expenses using a linear equation. If your income increases by a certain amount (your slope) for every job or project you take on, and you start with a specific amount already saved (your intercept), you can visualize your financial future quickly!

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