Math CentralQuandaries & Queries


Question from Samiya, a student:

what would be an equation of the form y=mx with the points (-2, 6) and (1, -3) for the line?

Hi Samiya,

In the equation $y = m x$ the letters $x$ and $y$ indicate variables and the letter $m$ indicates a constant. What that means is that if you can use one pair of numbers $x$ and $y$ that lie on the line you can find the value of $m.$

In your question (1, -3) lies on the line so it must satisfy the equation, that is $-3 = m \times 1.$ Solve this equation for $m.$ with this value of $m$ does (-2, 6) also lie on the line?



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