If (p=-4) and (q=9) in (y=px+q), which statement is correct?
Answer and explanation
Correct answer: The line decreases and the y-intercept is positive
In y=px+q, p is the slope and q is the y-intercept. Since p=-4 is negative, y decreases as x increases, so the line decreases. Since q=9 is positive, the line cuts the y-axis above the origin. Option C is incorrect because a horizontal line must have slope 0. Exam tip: use the sign of p to identify whether the line rises or falls, and the sign of q to locate the y-intercept.
Frequently asked questions
What is the correct answer to this question?
The line decreases and the y-intercept is positive
Why is this the correct answer?
In y=px+q, p is the slope and q is the y-intercept. Since p=-4 is negative, y decreases as x increases, so the line decreases. Since q=9 is positive, the line cuts the y-axis above the origin. Option C is incorrect because a horizontal line must have slope 0. Exam tip: use the sign of p to identify whether the line rises or falls, and the sign of q to locate the y-intercept.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Slope and y-intercept.
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