Mathematics for IGCSE & O level - Coordinate Geometry (Section 3 - No. 15)
Which statements are true about the line segment connecting points (1, 2) and (4, 6)?
The midpoint is (2.5, 4).
The gradient is 4/3.
The length is 5.
The equation is y = (4/3)x - 2/3.
Explanation
Midpoint: ((1+4)/2, (2+6)/2) = (2.5, 4). Gradient = (6-2)/(4-1) = 4/3. Equation is y = (4/3)x - 2/3. length: √( (4-1)^2 + (6-2)^2 ) = 5.
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