The equation \( y + 3x = 5 \) can be rewritten in several ways depending on what you're looking to do with it. Here are a few forms:
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Slope-intercept form (y = mx + b): To express the equation in slope-intercept form (where \( y \) is isolated on one side), you can rearrange it: \[ y = -3x + 5 \] In this form, the slope \( m \) is -3 and the y-intercept \( b \) is 5.
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Standard form (Ax + By = C): The equation is already in standard form \( y + 3x = 5 \) or can also be written as: \[ 3x + y = 5 \] where \( A = 3 \), \( B = 1 \), and \( C = 5 \).
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Finding intercepts:
- Y-intercept: Set \( x = 0 \): \[ y + 3(0) = 5 \implies y = 5 \] So the y-intercept is \( (0, 5) \).
- X-intercept: Set \( y = 0 \): \[ 0 + 3x = 5 \implies x = \frac{5}{3} \] So the x-intercept is \( \left(\frac{5}{3}, 0\right) \).
If you need further analysis or a specific operation related to this equation, please let me know!