What are the signs of the slope and y-intercept in the line y = -9x + 11?
Answer and explanation
Correct answer: Slope negative and y-intercept positive
The governing form is y = mx + c. In y = -9x + 11, the coefficient of x is m = -9, so the slope is negative. The constant term is c = 11, so the y-intercept is positive; specifically, the line meets the y-axis at (0, 11). Therefore option B is the only correct answer. Option A incorrectly changes the sign of the slope, option C reverses both signs, and option D ignores that both displayed values are nonzero. The sign of the x coefficient and the sign of the constant must be read independently rather than inferred from the overall appearance of the equation.
Frequently asked questions
What is the correct answer to this question?
Slope negative and y-intercept positive
Why is this the correct answer?
The governing form is y = mx + c. In y = -9x + 11, the coefficient of x is m = -9, so the slope is negative. The constant term is c = 11, so the y-intercept is positive; specifically, the line meets the y-axis at (0, 11). Therefore option B is the only correct answer. Option A incorrectly changes the sign of the slope, option C reverses both signs, and option D ignores that both displayed values are nonzero. The sign of the x coefficient and the sign of the constant must be read independently rather than inferred from the overall appearance of the equation.
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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