If (y=(k-6)x+13) and (y=5x+(k+2)) have equal slopes, what is (k)?
Answer and explanation
Correct answer: 11
In the form y = mx + c, the coefficient of x, m, is the slope. The first line has slope k - 6 and the second has slope 5. For equal slopes, k - 6 = 5, so k = 11. If k were 10, the first slope would be 4, so it would not match. Exam tip: identify the coefficient of x for the slope; the constant term does not affect it.
Frequently asked questions
What is the correct answer to this question?
11
Why is this the correct answer?
In the form y = mx + c, the coefficient of x, m, is the slope. The first line has slope k - 6 and the second has slope 5. For equal slopes, k - 6 = 5, so k = 11. If k were 10, the first slope would be 4, so it would not match. Exam tip: identify the coefficient of x for the slope; the constant term does not affect it.
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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