SLGs Flashcards
0
Q
The midpoint formula
A
M= x2 plus x1 over 2 , y1 plus y2 over 2
1
Q
The distance formula
A
d= root x2 minus x1 squared plus y2 minus y1 squared
2
Q
The gradient formula
A
m= y2-y1/x2-x1
3
Q
Gradient given an angle at the x axis
A
m=tan♎️
4
Q
Gradient intercept form
A
y= mx + b
5
Q
General form
A
ax+by+c=0
Where a,b,c are constants and a>0
6
Q
Two point formula
A
y-y1/x-x1=y2-y1/x2-x1
7
Q
Point gradient formula
A
y-y1=m(x-x1)
8
Q
Parallel lines
A
m1=m2
9
Q
Perpendicular lines
A
m1m2=-1
10
Q
Perpendicular distance
A
Dp= the absolute value of ax1+by1+c/ root a squared + b squared
11
Q
Acute angle between two lines
A
Tan♎️= the absolute value of (m1-m2/1+m1m2)
12
Q
Ratios
A
If p divides an interval between (x1,y2) and (x2,y2) in the ratio m:n
x=nx2+nx1/m+n y=ny2+ny1/m+n
For external ratios make either m or n negative ie. -m:n or m:-n
