If (p=-5) and (q=-4) in (y=px+q), which statement is correct?
Answer and explanation
Correct answer: The line falls and the y-intercept is negative
In y = px + q, p is the slope of the line and q is its y-intercept. Here, p = -5, so y decreases as x increases and the line falls from left to right. Since q = -4, the line meets the y-axis at -4, giving a negative y-intercept. Option C is incorrect because a horizontal line has slope 0. Exam tip: the sign of the slope shows whether a line rises or falls, while the constant term gives the y-intercept.
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What is the correct answer to this question?
The line falls and the y-intercept is negative
Why is this the correct answer?
In y = px + q, p is the slope of the line and q is its y-intercept. Here, p = -5, so y decreases as x increases and the line falls from left to right. Since q = -4, the line meets the y-axis at -4, giving a negative y-intercept. Option C is incorrect because a horizontal line has slope 0. Exam tip: the sign of the slope shows whether a line rises or falls, while the constant term gives 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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