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Choosing Strategic -Values for Fraction Coefficients
When a linear equation includes a fraction as the coefficient of , any number can still be substituted for . However, choosing values of that are multiples of the fraction's denominator simplifies the arithmetic, because the denominator cancels and the resulting -values are whole numbers rather than fractions. Whole-number coordinates are much easier to plot precisely on a grid.
For example, if the coefficient of is , choosing -values that are multiples of (such as , , and ) ensures that the product yields an integer. Similarly, if the coefficient is , multiples of (such as , , and ) are good choices. Including as one of the chosen values is always convenient because any fraction multiplied by zero is simply zero.
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Choosing Strategic -Values for Fraction Coefficients
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