Summary (Grade 11 NSC Matric Mathematics): Flashcards

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Distance formula between two points

d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Gradient formula

m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}

Mid-point formula

M=(x1+x22,y1+y22)M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)

Parallel lines gradient condition

m1=m2m_1 = m_2

Perpendicular lines gradient condition

m1×m2=−1m_1 \times m_2 = -1

Perpendicular gradient to mm

−1m-\frac{1}{m}

Gradient-intercept form equation

y=mx+cy = mx + c

In y=mx+cy = mx + c, mm and cc represent

mm = gradient, cc = y-intercept

General form of line equation

ax+by+c=0ax + by + c = 0

Gradient and angle of inclination relation

m=tan⁡θm = \tan \theta

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