Summary Linear equations

Slope
Im Intercept Form
↓




Slope-Int Form (x , y) Examples :




1
. (+ ( -
14
b y1
y mx +
=
y2
-




# m =
*

= E =5
x2 x1
slope y-int
-




m =




(5, 4) y
AXIOM
use : = -




+(5) + b


4
- bl
+
+
=




Between 2 points is unique line
=
one




-
2 .
10, 1) + (2 2) ,
E
E m2
E
-
1
-
=

2 0




-
-




I
-




2
((2)
=

+ b


2 =
1 + b1 -
1

1 = b




Point
- Slope Form j




I
Formel:
Examples :




y -




y1 =
m(x -
x1) Slope :E pt : 3 -2
,




y - -
2 =
=(x -


3)
2
y + =

t(x -

3)



Standard
-"14 Form
Formel:
Examples :


* +B 1
. What is the 9
graph of 3x-2y
,
=




easiest to get x-int + y-int X- int ↓
to find for 2(0) 9
·




x-int in 0 solve 3x
plug
·
y + -
=
,

to find y-int in 0 forx + 9 li
plug solvey 3x
· =
,

X - 3 E


y-int
IIIIIII X




3(0) 9 =
-



2y =


-


2y =
91 ( : -
2)
4 ,3
Y
-
=