Mathematics for IGCSE & O level - Coordinate Geometry (Section 4 - No. 18)
A line segment has endpoints A(1, 1) and B(4, 5). Which of the following statements is correct?
The gradient of AB is 4/3.
The length of AB is 5.
The midpoint of AB is (2.5, 3).
The equation of the line AB is y = (4/3)x + 1/3.
Explanation
Gradient = (5-1)/(4-1) = 4/3. Length = sqrt((4-1)^2 + (5-1)^2) = 5. Midpoint = ((1+4)/2, (1+5)/2) = (2.5, 3). Equation: y - 1 = 4/3(x - 1) => y = 4/3x -4/3 + 1 = y = 4/3x - 1/3
Comments (0)
