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Combines algebra & geometry using coordinates & equations
d=(x1−x2)2+(y1−y2)2d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}d=(x1−x2)2+(y1−y2)2
m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}m=x2−x1y2−y1
y=mx+cy = mx + cy=mx+c
Gradient
y-intercept
Equal gradients: m1=m2m_1 = m_2m1=m2
m1×m2=−1m_1 \times m_2 = -1m1×m2=−1 (negative reciprocals)
M=(x1+x22;y1+y22)M = \left(\frac{x_1 + x_2}{2}; \frac{y_1 + y_2}{2}\right)M=(2x1+x2;2y1+y2)
Zero (0)
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