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Which of the following points lie on the line \( y=3 x-4 \) ?

Ask by Page Estrada. in India
Jan 24,2025

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Answer

To determine if a point \((x, y)\) lies on the line \( y = 3x - 4 \), substitute the \(x\)-value into the equation and see if the calculated \(y\) matches the point's \(y\)-coordinate. If they match, the point is on the line.

Solution

It looks like you intended to provide a list of points to check against the line \( y = 3x - 4 \). Please provide the specific points you're interested in, and I'll help you determine which ones lie on the line. **In the meantime, here's how you can determine if a point \((x, y)\) lies on the line \( y = 3x - 4 \):** 1. **Substitute the \(x\)-coordinate into the equation:** Plug the \(x\)-value of the point into the equation to calculate the corresponding \(y\)-value. 2. **Compare the calculated \(y\) with the point's \(y\)-coordinate:** - If they match, the point lies on the line. - If they don't, the point does not lie on the line. **Example:** Let's say you want to check if the point \((2, 2)\) lies on the line \( y = 3x - 4 \). 1. Substitute \(x = 2\) into the equation: \[ y = 3(2) - 4 = 6 - 4 = 2 \] 2. Compare the calculated \(y\) with the point's \(y\)-coordinate: \[ 2 = 2 \] Since they match, the point \((2, 2)\) lies on the line \( y = 3x - 4 \). Feel free to provide the specific points you'd like to check, and I'll assist you further!

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Beyond the Answer

To determine which points lie on the line defined by the equation \( y = 3x - 4 \), you can substitute the \( x \)-coordinate of each point into the equation and see if the resulting \( y \)-value matches the \( y \)-coordinate of the point. For instance, if you have a point \( (2, y) \), you would substitute \( 2 \) into the equation to see if \( 3(2) - 4 = y \). Keep doing this for all the points in question, and voila, you’ll find out which ones are on the line! Don't forget to check points that might seem tricky! For example, if a point has a negative \( x \)-value, the equation won't magically break; just follow the same substitution process! Engage with the math, and you'll have a blast figuring it out!

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