Which statement about (y=9x+2) and (y=-9x+2) is correct?
Answer and explanation
Correct answer: Slopes are different and the (y)-intercepts are the same
In the form (y=mx+c), (m) is the slope and (c) is the (y)-intercept. The first line has slope (9), while the second has slope (-9), so their slopes are different. Both equations have constant term (2), so both have (y)-intercept (2). Option D is incorrect because a line passes through the origin only when its (y)-intercept is (0). Exam tip: In (y=mx+c), the coefficient of (x) gives the slope and the constant term gives the (y)-intercept.
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What is the correct answer to this question?
Slopes are different and the (y)-intercepts are the same
Why is this the correct answer?
In the form (y=mx+c), (m) is the slope and (c) is the (y)-intercept. The first line has slope (9), while the second has slope (-9), so their slopes are different. Both equations have constant term (2), so both have (y)-intercept (2). Option D is incorrect because a line passes through the origin only when its (y)-intercept is (0). Exam tip: In (y=mx+c), the coefficient of (x) gives the slope and the constant term gives the (y)-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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