Advanced MathVery hardSlope of a linear difference
Advanced Math practice question
The graph of y = (x + 3)(x − 3) − (x − 3)² in the xy-plane is a line. What is the slope of that line?
Answer: 6
(x² − 9) − (x² − 6x + 9) = 6x − 18: a line with slope 6.
Common wrong answers
- If you answered 1
- 1 would be the slope if the x² terms had not cancelled and been mistaken for a line.
- If you answered -18
- −18 is the y-intercept, not the slope.
- If you answered -6
- −6 has the wrong sign; subtracting −6x gives +6x.
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