Mathematics for IGCSE & O level - Coordinate Geometry (Section 1 - No. 10)
The line segment AB has endpoints A(2, 1) and B(6, 3). Which statements are true?
The length is 2√5
The gradient is 1/2
The midpoint is (4,2)
The equation is y = (1/2)x
Explanation
Length: sqrt(4^2 + 2^2) = sqrt(20) = 2√5. Gradient = (3-1)/(6-2) = 1/2. Midpoint = (4, 2). Equation: y-1=(1/2)(x-2) => y= (1/2)x
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