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(x2−x1)2+(y2−y1)2\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}(x2−x1)2+(y2−y1)2
m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}m=x2−x1y2−y1 (rise over run)
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)
mAB=mAM=mMBm_{AB} = m_{AM} = m_{MB}mAB=mAM=mMB (all gradients equal)
y=mx+cy = mx + cy=mx+c
m1=m2m_1 = m_2m1=m2 (same gradients)
m1×m2=−1m_1 \times m_2 = -1m1×m2=−1
y=ky = ky=k (gradient = 0)
x2+y2=r2x^2 + y^2 = r^2x2+y2=r2
(x−a)2+(y−b)2=r2(x - a)^2 + (y - b)^2 = r^2(x−a)2+(y−b)2=r2
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