If (p=6) and (q=-8) in (y=px+q), which statement is correct?
Answer and explanation
Correct answer: The line increases 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=6) is positive, so y increases as x increases and the line rises. Also, (q=-8) means that the line cuts the y-axis at -8, so its y-intercept is negative. 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 increases 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=6) is positive, so y increases as x increases and the line rises. Also, (q=-8) means that the line cuts the y-axis at -8, so its y-intercept is negative. 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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