Which line has slope -3 and y-intercept 2?
Answer and explanation
Correct answer: y = -3x + 2
The governing concept is the slope-intercept form y = mx + c, where m is the slope and c is the y-intercept. Here the required slope is -3, so the coefficient of x must be -3. The required y-intercept is 2, so the constant term must be +2. Substituting these two values directly gives y = -3x + 2, which is option C. Option A has the correct intercept but a positive slope. Option B reverses the required roles of the numbers, while option D has both the wrong slope and the wrong intercept.
Frequently asked questions
What is the correct answer to this question?
y = -3x + 2
Why is this the correct answer?
The governing concept is the slope-intercept form y = mx + c, where m is the slope and c is the y-intercept. Here the required slope is -3, so the coefficient of x must be -3. The required y-intercept is 2, so the constant term must be +2. Substituting these two values directly gives y = -3x + 2, which is option C. Option A has the correct intercept but a positive slope. Option B reverses the required roles of the numbers, while option D has both the wrong slope and the wrong 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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