Is the point (0, -3) on the line y = 2x - 3?
ANo, since y = 2(0) - 3 equals 3
BYes, since y = 2(0) + 3 equals -3
CNo, since y = 2(0) - 3 equals 0
DYes, since y = 2(0) - 3 equals -3
Answer & Solution
Correct answer: D. Yes, since y = 2(0) - 3 equals -3
1. Substitute x = 0 into y = 2x - 3.
2. Compute 2 times 0, which is 0, so y equals 0 minus 3.
3. Simplify: 0 minus 3 equals -3, which matches the given y-value.
4. Since the equation gives y = -3 when x = 0, the point (0, -3) is a solution and lies on the line.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 4 "Graphs", section 4.2 Graph Linear Equations in Two Variables_
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