Nayland College  Mathematics Home . Year 9 . Year 10 . Level 1 . Level 2 . L3 Statistics . L3 Maths . L3 Calculus . About . Links 
Coordinates HOME  Achievement Objectives  Distance  Gradient  Rearranging  Equations  Parallel & Perpendicular  Collinear  Applications  Revision 
1) Find the gradient of the line AB Gradient? 2)
General rule for a line graph
3)
Substitute in a point eg A(2,4) 

Mouseover "key words" 
eg. Find the equation of the line joining (3,2) to (5,6)  

y = mx + c  
1) Find the gradient of the line m = ^{rise}/_{run}  m = ^{62}/_{53} 
m = ^{4}/_{2}  
m = 2  
y = 2x + c  
2) Substitute in one coordinate to find 'c' x = 3 & y = 2 
2 = 2x3 + c 
2 = 6 + c  
c = 4  
3) Equation of line is...  y = 2x  4 
1) Substitute in (x_{1},y_{1}) & (x_{2},y_{2}) 2) Find gradient 3) Cross multiply 4) Expand 5) Rearrange to ax+by+c=0 

Mouseover "key words" 
eg. Find the equation of the line joining (3,6) to (8,2)  

Substitute in values ^{yy1}/_{xx1} = ^{y1y2}/_{x1x2}  ^{y6}/_{x3} = ^{62}/_{38} 
^{y6}/_{x3} = ^{4}/_{5}  
multiply by (x  3) 
y  6 = ^{4(x3)}/_{5} 
multiply by  5 
5(y  6) = 4(x  3) 
Expand brackets 
5y + 30 = 4x  12 
Rearrange so '= 0' 
4x + 5y  42 = 0 
Continue to parallel & perpendicular lines