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FormulasStraight 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) |
| | Solving StuffFinding 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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