Mathematics for IGCSE & O level - Coordinate Geometry (Section 2 - No. 6)
What statements are true about the line passing through points (1, -2) and (3, 2)?
The gradient is 2.
The equation is y = 2x - 4.
The length of a segment is 2√5
The y-intercept is -4.
Explanation
Gradient: (2-(-2))/(3-1) = 2. Equation y+2 = 2(x-3) or y = 2x-4. length = sqrt((3-1)^2 + (2-(-2))^2) = 2√5, y intercept when x=0, y= -4.
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