How are the two lines y = -4x + 6 and y = -4x - 9 related?
Answer and explanation
Correct answer: Their slopes are the same
The slope-intercept form y = mx + b shows that the coefficient of x is the slope. In both equations the coefficient is -4, so their slopes are equal. Their y-intercepts are 6 and -9, so they are not equal. Equal slopes with different intercepts mean the lines are distinct and parallel. Hence option A is correct. The remaining options confuse slope with intercept, incorrectly claim a zero slope, or assume passage through the origin without checking the constant term.
Frequently asked questions
What is the correct answer to this question?
Their slopes are the same
Why is this the correct answer?
The slope-intercept form y = mx + b shows that the coefficient of x is the slope. In both equations the coefficient is -4, so their slopes are equal. Their y-intercepts are 6 and -9, so they are not equal. Equal slopes with different intercepts mean the lines are distinct and parallel. Hence option A is correct. The remaining options confuse slope with intercept, incorrectly claim a zero slope, or assume passage through the origin without checking the constant term.
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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