20100912

Notes

Agenda

I.Bell ringer.
II.Review of slope formula and equation of a line.
III.Review of midpoint and the distance formula.
IV.Systems of equation.

I.1.
(3,2)(-5,6)
(y2-y1/x2-x1)
(6-2/-5-3)
(4/-8)
(-1/2)

I.2.
(y=-1/2x+b)
(6=-1/2(-5)+b)
(6=5/2+b)
(3.5=b)
(y=-1/2x+3.5)

Point Slope
y-y1=m(x-x1)
y-6=-1/2(x+5)

II.
y-intercept
y=mx+b
m=slope
b=y-intercept

Standard form
Ax+By=C

Point slope form
y-y1=m(x-x1)

III.......................__
Given Segment AB
A=(-5,2) B=(-7,8)

To find the midpoint
(x1+x2/2,y1+y2/2)
(-7+-5/2,2+8/2)
(-6,5)

To find the distance
......._____________________
d=-/(x2-x1)2nd+(y2-y1)2nd
.......______________
d=-/(2)2nd+(-6)2nd
..........4...+...36
......____
d=-/40
........____
d=2-/10

IV.Ax+By=C
Matrix function
2nd matrix
Edit 2x3
3x+7y=-5
2x-4y=2
[3 7 -5]
[2 -4 2]
2nd Quit
2nd matrix math
rref[B]
rref[
2nd matrix
rref[A]
[1 0 -3/15]
[0 1 -8/13]