MATHEMATICS

JAMB 2002 - Question 36

Mathematics 2002 JAMB Past Questions - Question 36: Find the coordinate of the midpoint of x and y intercepts of the line 2y=4x-8.

Find the coordinate of the midpoint of x and y intercepts of the line 2y=4x-8.
A:
B:
C:
D:
Examkits App

Examkit's JAMB CBT App

Practice JAMB offline with our Online, PC and Mobile App

  • ✅ 25+ years of past questions (2000 to 2025)
  • ✅ Video solutions and explanation to questions
  • ✅ E-library
  • ✅ Study by topic
  • ✅ And more.

Correct Answer

B

Explanation

To find the x-intercept of the line, we set y = 0 and solve for x:2y = 4x - 80 = 4x - 84x = 8x = 2Therefore, the x-intercept is (2, 0).To find the y-intercept of the line, we set x = 0 and solve for y:2y = 4(0) - 82y = -8y = -4Therefore, the y-intercept is (0, -4).The midpoint of two points can be found by taking the average of their x-coordinates and the average of their y-coordinates.The x-coordinate of the midpoint is (2 + 0) / 2 = 1.The y-coordinate of the midpoint is (0 + -4) / 2 = -2.Therefore, the coordinate of the midpoint of the x and y intercepts is (1, -2).