Question
What transformation would need to happen for the equation of the line to be y=2/3x
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GPT 3.5
To transform the equation of the line to be y = 2/3x, the following transformation would need to happen:
1. Adjust the constant term:
The equation y = mx + b is in slope-intercept form, where m represents the slope of the line and b represents the y-intercept. In the given equation, y = 2/3x, the constant term, b, is missing. So, to make the equation match y = 2/3x, b would need to be equal to 0. Therefore, the constant term would need to be removed or set to 0.
2. Simplify the slope:
The slope in the given equation is 2/3, which is already in simplified form. However, if the slope in the original line equation is not already simplified, it would need to be simplified to match the slope in the desired equation. For example, if the original slope is 4/6, it would need to be simplified to 2/3.
After these transformations, the equation would be y = 2/3x.
1. Adjust the constant term:
The equation y = mx + b is in slope-intercept form, where m represents the slope of the line and b represents the y-intercept. In the given equation, y = 2/3x, the constant term, b, is missing. So, to make the equation match y = 2/3x, b would need to be equal to 0. Therefore, the constant term would need to be removed or set to 0.
2. Simplify the slope:
The slope in the given equation is 2/3, which is already in simplified form. However, if the slope in the original line equation is not already simplified, it would need to be simplified to match the slope in the desired equation. For example, if the original slope is 4/6, it would need to be simplified to 2/3.
After these transformations, the equation would be y = 2/3x.
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