If the two lines (y=(q-2)x+4) and (y=5x+1) have the same slope, what is (q)?
Answer and explanation
Correct answer: 7
In the form y = mx + c, the coefficient of x, m, is the slope. The slopes of the first and second lines are q - 2 and 5 respectively. For equal slopes, q - 2 = 5, so q = 7. If q were 6, the first slope would be 4, not 5. Exam tip: for parallel lines or lines with equal slopes, equate their coefficients of x.
Frequently asked questions
What is the correct answer to this question?
7
Why is this the correct answer?
In the form y = mx + c, the coefficient of x, m, is the slope. The slopes of the first and second lines are q - 2 and 5 respectively. For equal slopes, q - 2 = 5, so q = 7. If q were 6, the first slope would be 4, not 5. Exam tip: for parallel lines or lines with equal slopes, equate their coefficients of x.
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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