alleryStart learning →The graph of y = 2x - 3 is a line. Is the point (2, -3) a solution to this equation?
AYes, since 2(2) minus 3 equals -3
BNo, since 2(2) minus 3 equals 1, not -3
CYes, since 2 and -3 both appear in it
DNo, it needs a positive y-value instead
Answer & Solution
Correct answer: B. No, since 2(2) minus 3 equals 1, not -3
1. Substitute x equals 2 into the right side of y equals 2x minus 3.
2. 2 times 2 minus 3 equals 4 minus 3, which is 1.
3. The right side equals 1, but the given y-value is negative 3, and 1 does not equal negative 3.
4. Since the two sides do not match, (2, -3) is not a solution to the equation, even though both numbers happen to appear somewhere in it.
_Source: OpenStax Prealgebra (CC BY 4.0), Ch 11 "Graphs", section 11.2 Graphing Linear Equations_
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