JAMB Mathematics 2021 Objective — Question 26
Question 26 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2021 Objective paper, with the correct answer and a full explanation.
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26. The angle between the positive x-axis and a given line is 135°. Given that the line passes through the point (2,3). What is the equation of the line? (a) x+y=5 (b) x-y=5 (c) x+y=1 (d) x-y=1
- A. x+y=5Correct
- B. x-y=5
- C. x+y=1
- D. x-y=1
Explanation
Gradient m = tan135° = -1. Using y - y1 = m(x - x1) through (2,3): y - 3 = -1(x - 2), which simplifies to x + y = 5.
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