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When graphing y = (1/2)x + 3, why is it a good idea to choose multiples of 2 for the x-values?
AMultiples of 2 are the only legal values for x in any equation
BThe equation cannot be solved for values that are not multiples of 2
CMultiples of 2 always force the y-value to come out to zero
DMultiplying an even number by one-half avoids fraction answers
Answer & Solution
Correct answer: D. Multiplying an even number by one-half avoids fraction answers
1. The coefficient of x in the equation is one-half, a fraction.
2. Choosing an x-value that is a multiple of 2 means one-half times that value comes out to a whole number instead of a fraction.
3. Whole-number y-values are easier to plot precisely on a grid than fractional ones, which is the only reason for the choice, not any restriction on legal x-values.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 4 "Graphs", section 4.2 Graph Linear Equations in Two Variables_
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