MATHEMATICS

JAMB 2014 - Question 35

Mathematics 2014 JAMB Past Questions - Question 35: Calculate the mid point of the line segment y-4x+3=0 which lies between the x-axis and y axis.

Calculate the mid point of the line segment y-4x+3=0 which lies between the x-axis and y axis.
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

y = 4x +3=0 (given)when y = 0, 0-4x +3=0-4x = -3 x = 3/4To find the midpoint of the line segment that lies between the x-axis and y-axis, we need to find the coordinates of the two endpoints of the line segment.First, let's find the x-intercept by setting y = 0 in the equation y - 4x + 3 = 0:0 - 4x + 3 = 0Simplifying the equation, we get:-4x + 3 = 0-4x = -3Dividing both sides of the equation by -4, we find:x = 3/4So, the x-coordinate of the x-intercept is 3/4.Next, let's find the y-intercept by setting x = 0 in the equation y - 4x + 3 = 0:y - 4(0) + 3 = 0Simplifying the equation, we get:y + 3 = 0y = -3So, the y-coordinate of the y-intercept is -3.Now, we can find the midpoint of the line segment by taking the average of the x-coordinates and the average of the y-coordinates.Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)Midpoint = ((3/4 + 0) / 2, (-3 + 0) / 2)Simplifying further, we have:Midpoint = (3/8, -3/2)Therefore, the midpoint of the line segment that lies between the x-axis and y-axis is (3/8, -3/2).so the line cuts the x-axis at the point (3/4, 0)when x = 0, y - 4(0) +3 = 0y + 3 = 0 y = -3so the line cuts the y-axis at the point (0,3)Hence the midpoint of the line y - 4x +3=0 whichlies between the x-axis and the y-axis is<1//2 (xsup1 + xsup2), 1/2 (ysup1 +ysup2)<1/2 (3/4 +0), 1/2 (0 + -3)> = <1/2 (-3)>= <3/8, -3/2

Frequently Asked Questions

Examkits is a JAMB CBT practice platform that provides over 20 years of past questions, Post UTME questions, and detailed video solutions to help students prepare for their exams.

You can practice JAMB past questions online, on Android, or on a desktop using the Examkits app. Just register on our website and choose your preferred device.

Yes. Our Android and Windows versions support offline usage. Once downloaded and activated, no internet is required to use most of the features.

Yes, Examkits provides detailed video explanations for all JAMB past questions from 2000 to 2024, helping students understand how to solve each problem.

Examkits offers free practice for some subjects. However, full access requires a one-time affordable activation fee for each version of the app.