Question
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Answer
The equation is \( y = -5x + 7 \).
Solution
It seems you have provided a linear equation in the form \( y = mx + b \), where \( m = -5 \) and \( b = 7 \).
If you need to analyze this equation further, please specify what you would like to do with it. Here are some common tasks that can be performed with a linear equation:
1. Find the slope and y-intercept.
2. Determine the x-intercept.
3. Graph the equation.
4. Solve for \( x \) or \( y \) given a specific value.
Please let me know how you would like to proceed!
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Simplify this solution Mind Expander
Did you know that linear equations like \( y = -5x + 7 \) are commonly used to predict real-world outcomes, such as calculating costs or analyzing trends? The slope of -5 indicates that for every unit increase in \( x \), \( y \) decreases by 5, which can represent a loss or a reduction in various scenarios. One common mistake when graphing linear equations is overlooking the y-intercept. In this case, the y-intercept is 7, meaning the line crosses the y-axis at (0, 7). Make a mental note to always plot that point first; it’s your starting point before determining the slope! Happy graphing!
