Linear Relationships Cheat Sheet by maxine3
maths agebra year9 year10
Equation of parallel line OR Point of intersection
Gradient of parallel line
Gradient of perpendicular line
m1m2=-1 OR m2=-1/m1 & -m2=1/m1
m=rise/run OR m=(y2-y1)/(x2-x1)
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
Forming Simultaneous Equations
Define unknowns using pronumerals. Form two equations from the information in the problem. Solve simultaneously. Answer the question in words.
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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