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What is the slope of the line through (-2, 6) and (4, -3)?
APositive three halves
BNegative two thirds
CPositive two thirds
DNegative three halves
Answer & Solution
Correct answer: D. Negative three halves
1. Slope is the change in y divided by the change in x, taken in a consistent order.
2. The change in y is negative 3 minus 6, which is negative 9.
3. The change in x is 4 minus negative 2, which is 6.
4. Dividing gives negative 9 over 6, which reduces to negative three halves.
_Source: OpenStax College Algebra (CC BY 4.0), section 2.2 Linear Equations in One Variable_
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