To check if a point is on a line, you need to know the equation of the line. The point is written as (x, y), where x is the first number and y is the second number.
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Identify the equation: We need to find out the equation of the line based on the instructor's savings and rent.
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Calculate the savings after paying rent: The instructor saves $3,500 but pays $275 each month. So, after 'm' months, his savings will be: \[ \text{Savings} = 3500 - 275m \]
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Check the point (6, 1850): Here, x = 6 (months) and y = 1850 (savings). We can put x = 6 into the savings equation to see if it equals 1850.
\[ \text{Savings} = 3500 - 275(6) = 3500 - 1650 = 1850 \]
Since when we plug in 6 for x, we get 1850 for savings, the point (6, 1850) is on the line. So yes, the instructor is correct!