Pregunta
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4) \( y=\frac{6}{5} x+1 \)

Ask by Frank Schneider. in the United States
Nov 08,2024

Solución de inteligencia artificial de Upstudy

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The slope is \( \frac{6}{5} \) and the y-intercept is \( 1 \).

Solución

The equation you provided, \( y = \frac{6}{5} x + 1 \), is in the slope-intercept form of a linear equation, which is given by \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. From your equation: - The slope \( m \) is \( \frac{6}{5} \). - The y-intercept \( b \) is \( 1 \). This means that the line rises \( 6 \) units for every \( 5 \) units it moves to the right. The line crosses the y-axis at the point \( (0, 1) \). If you have any specific questions or need further analysis regarding this equation, feel free to ask!

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Extra Insights

Did you know that linear equations like \( y=\frac{6}{5} x+1 \) are not just the stuff of math class? They represent real-world relationships, such as predicting earnings, expenses, or distances! For instance, if you were to graph this equation, each point on the line could represent a different scenario of income based on hours worked—life, simplified! When working with linear equations, keep an eye on slope and intercept! A common mistake is confusing slope with the rise over run concept, leading to incorrect graphing. Always ensure your calculations for the slope \( \frac{6}{5} \) accurately reflect how steep your line is—getting that right can make all the difference in your final graph!

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