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Straight Line
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y=mx+c
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Equation of parallel line OR Point of intersection
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y-y1=m(x-x1)
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Midpoint
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([x1+x2/2],[y1+y2/2])
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Distance Formula
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√(x2-x1)2+(y2-y1)2
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Gradient of parallel line
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m1=m2
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Gradient of perpendicular line
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m1m2=-1 OR m2=-1/m1 & -m2=1/m1
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Gradient
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m=rise/run OR m=(y2-y1)/(x2-x1)
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Finding a rule for a graph
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For: (x1,y1) & (x2,y2) Find gradient Sub into y-y1=m(x-x1)
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Finding equation of parallel line
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Arrange into y=mx+c Find values of x,y,m Sub into y-y=m(x-x) Solve
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Finding equation of perpendicular line
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Find negative reciprocal of m Substitute (x,y) into y=mx+c Solve for c
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Finding point of intersection
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Arrange one of the lines into y=mx+c or x= Sub this into the other line Solve for other coordinate
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Shading Half Planes
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>above <below
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Horizontal Line
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y=b
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Vertical Line
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x=a
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Forming Simultaneous Equations
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Define unknowns using pronumerals. Form two equations from the information in the problem. Solve simultaneously. Answer the question in words.
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Solving Simultaneous
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Solve two equations in two pronumerals using: substitution when one pronumeral is the subject; e.g. y = x + 4. elimination when adding or subtracting multiples of equations eliminates one variable.
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Cheatography n. The art of mapping complex subjects into clear, instantly navigable reference guides.
