The Equation of a Straight Line (VCE SSCE Mathematical Methods): Flashcards

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The Equation of a Straight Line
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Pieces of info needed for line equation

Two independent pieces

Gradient-intercept form equation

y=mx+cy = mx + c

mm in y=mx+cy = mx + c

Gradient

cc in y=mx+cy = mx + c

yy-intercept

Point-gradient form

yy1=m(xx1)y - y_1 = m(x - x_1)

Gradient from two points formula

m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}

Intercept form equation

xa+yb=1\frac{x}{a} + \frac{y}{b} = 1

Horizontal line equation

y=cy = c

Vertical line equation

x=ax = a

General form of straight line

mx+ny+p=0mx + ny + p = 0

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