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The instructor had saved $3,500 and rents an apartment for $275 monthly. He believes the point (6, 1850) would be on the equation of the line. Is he correct? Explain how to check if a point is on a line. write it like an 8th grader and make the writing short

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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.

  1. Identify the equation: We need to find out the equation of the line based on the instructor's savings and rent.

  2. Calculate the savings after paying rent: The instructor saves $3,500 but pays $275 each month. So, after 'm' months, his savings will be: \[ \text{Savings} = 3500 - 275m \]

  3. 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!