Mathematics for IGCSE & O level - Coordinate Geometry (Section 2 - No. 50)
For a line segment with endpoints P(1, 3) and Q(5, 7), which of the following statements are accurate?
The gradient is 1.
The length of PQ is 4√2.
The midpoint of PQ is (3, 5).
The equation of the line is y = x + 2.
Explanation
Gradient = (7-3)/(5-1) = 1. Length = sqrt((5-1)^2 + (7-3)^2) = sqrt(32) = 4√2. Midpoint = ((1+5)/2, (3+7)/2) = (3,5). Equation: y-3 = 1(x-1) or y = x+2
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