.
4.5 Equation of The Lines
I. Equations of the Lines
1. Slope–Intercept Form:
2. Standard Form:
3. Point–Slope Form:
3
Example 1. Write the Slope–Intercept equation:
Slope =
; y–intercept = –2
5
Example 2. Write each of the equations in Standard Form
= x
3 −
1.
y
4
1
=
−
+
2.
y
x
5
2
Example 3. Find the slope and the y–intercept
= x
4 −
1.
y
2
+ y
=
2.
6
x
3
12
Example 4. Write Point–Slope Form and the slope—intercept from that satisfies the following
3
− , passing through (10, –4)
1. Slope =
5
1