Show Menu
Cheatography

# Linear Relationships Cheat Sheet by maxine3

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)

### 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
If asking for 'through (x,y) perpen­dicular to x=a, answer y=b e.g perp. tp x=7 through (0,3) = y=3

## Comments

No comments yet. Add yours below!

## Add a Comment

Your Comment

Please enter your name.

Please enter your email address

Please enter your Comment.

## Related Cheat Sheets

Weights and Measures Cheat Sheet
Co-Ordinate Geometry & Simultaneous Equations Cheat Sheet
Trigonometry Questions Year 9 Cheat Sheet