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MATHSSSSSSSSSSSSSSSSSSSSS
Formulas
Straight Line |
y=mx+c |
Equation of parallel line OR Point of intersection |
y-y1=m(x-x1) |
Midpoint |
([x1+x2/2],[y1+y2/2]) |
Distance Formula |
√(x2-x1)2+(y2-y1)2 |
Gradient of parallel line |
m1=m2 |
Gradient of perpendicular line |
m1m2=-1 OR m2=-1/m1 & -m2=1/m1 |
Gradient |
m=rise/run OR m=(y2-y1)/(x2-x1) |
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Solving Stuff
Finding a rule for a graph |
For: (x1,y1) & (x2,y2) Find gradient Sub into y-y1=m(x-x1) |
Finding equation of parallel line |
Arrange into y=mx+c Find values of x,y,m Sub into y-y=m(x-x) Solve |
Finding equation of perpendicular line |
Find negative reciprocal of m Substitute (x,y) into y=mx+c Solve for c |
Finding point of intersection |
Arrange one of the lines into y=mx+c or x= Sub this into the other line Solve for other coordinate |
Shading Half Planes |
>above <below |
Horizontal Line |
y=b |
Vertical Line |
x=a |
Forming Simultaneous Equations |
Define unknowns using pronumerals. Form two equations from the information in the problem. Solve simultaneously. Answer the question in words. |
Solving Simultaneous |
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. |
If asking for 'through (x,y) perpendicular to x=a, answer y=b e.g perp. tp x=7 through (0,3) = y=3
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