What are the signs of the slope and y-intercept in the line y = -7x + 9?
Answer and explanation
Correct answer: Slope negative and y-intercept positive
Use the slope-intercept form y = mx + c. Comparing y = -7x + 9 with that form gives m = -7 and c = 9. The negative coefficient of x means the slope is negative: the line falls as x increases. The positive constant term means the y-intercept is positive, specifically the line crosses the y-axis at (0, 9). Thus option B is correct. Option A ignores the minus sign on the slope, option C reverses both signs, and option D incorrectly treats nonzero values as zero. Reading the coefficient and constant separately avoids the common sign error.
Frequently asked questions
What is the correct answer to this question?
Slope negative and y-intercept positive
Why is this the correct answer?
Use the slope-intercept form y = mx + c. Comparing y = -7x + 9 with that form gives m = -7 and c = 9. The negative coefficient of x means the slope is negative: the line falls as x increases. The positive constant term means the y-intercept is positive, specifically the line crosses the y-axis at (0, 9). Thus option B is correct. Option A ignores the minus sign on the slope, option C reverses both signs, and option D incorrectly treats nonzero values as zero. Reading the coefficient and constant separately avoids the common sign error.
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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