How are the two lines y = -3x + 4 and y = -3x - 8 related?
Answer and explanation
Correct answer: Their slopes are the same
In y = mx + b, the coefficient of x gives the slope. Both equations have coefficient -3, so both slopes are -3. Their y-intercepts are 4 and -8, which are different. Since the slopes are equal but the intercepts differ, the lines are distinct parallel lines. Option A is correct. Option B is false because the constants differ; option C ignores the coefficient, and option D is false because neither constant is zero.
Frequently asked questions
What is the correct answer to this question?
Their slopes are the same
Why is this the correct answer?
In y = mx + b, the coefficient of x gives the slope. Both equations have coefficient -3, so both slopes are -3. Their y-intercepts are 4 and -8, which are different. Since the slopes are equal but the intercepts differ, the lines are distinct parallel lines. Option A is correct. Option B is false because the constants differ; option C ignores the coefficient, and option D is false because neither constant is zero.
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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