AlgebraEasyDescribing the graph of a decreasing linear function
Algebra practice question
Which of the following describes the graph of f(x) = −2x + 6 in the xy-plane?
- A. It falls from left to right and crosses the y-axis at 6.Correct
- B. It rises from left to right and crosses the y-axis at 6.
- C. It falls from left to right and crosses the y-axis at −2.
- D. It is a horizontal line at y = 6.
Answer: A. It falls from left to right and crosses the y-axis at 6.
Slope −2 means falling; the constant 6 is the y-intercept.
Why the other answers are wrong
- B. It rises from left to right and crosses the y-axis at 6.
- A negative slope falls.
- C. It falls from left to right and crosses the y-axis at −2.
- −2 is the slope, not the intercept.
- D. It is a horizontal line at y = 6.
- A horizontal line would have slope 0.
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