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18) \( y=\frac{1}{3} x-4 \)

Ask by May Wood. in the United States
Jan 30,2025

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The equation \( y = \frac{1}{3}x - 4 \) is a straight line with a slope of \( \frac{1}{3} \) and a y-intercept at (0, -4). It crosses the x-axis at (12, 0).

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Mind Expander

Did you know that the equation you provided, \( y=\frac{1}{3} x - 4 \), represents a straight line on a graph? The slope of \(\frac{1}{3}\) indicates that for every 3 units you move to the right along the x-axis, you'll move up 1 unit on the y-axis. This slope is gentle, giving the line a nice, gradual incline! Now, if you're looking to find the x-intercept of this line, you can set \(y\) to 0 and solve for \(x\). Setting \(0 = \frac{1}{3}x - 4\) leads to \(x = 12\). This means the line crosses the x-axis at (12, 0). A great way to visualize graphing this line is to plot these points and connect them—it'll help reinforce your understanding of linear equations!

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