A common example of a two-variable linear equation can be seen in the relationship between hours worked and money earned. If you earn $10 per hour, then y = 10x represents the total amount of money earned after x hours. The y-intercept represents the amount earned when no hours have been worked (0 in this case). The x-intercept represents the number of hours worked when no money has been earned (also 0 in this case). The slope represents the rate of change in money earned for each hour worked (10 in this case).
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