1. 5.7.1 Ax + By = C Form (standard form)

2. Remember slope intercept form?
y = mx + b
This equation gives a lot of information about slope and intercept
Good for some real life applications
Integers  { , -2, -1, 0, 1, 2, }

3. Standard Form Ax + By = C where A, B, and C are integers
Where (0, )  y-intercept
And
Where ( , 0)  x-intercept
y-intercept
X-intercept

4. Similarities Both are great for graphing equations of a line.
Graph y=mx +b using slope and y-intercept
Graph Ax + By = C using two intercept method.

5. Differences
y=mx +b gives slope information which is nice for many applications we have seen, usually when time is a variable
Ax + By = C gives two intercepts which is useful for other types of applications, usually when time is not a variable (maximization problems)

6. Finding the slope
For Ax + By = C
The slope is:

7. Graphing (problems 1-11, 15-22)
Ex) x + y = 2
A = 1 B = 1 C = 2
x intercept  ( , 0)  (2, 0)
y intercept  ( 0, )  (0, 2)

8. Point Slope form (problems 24 – 31)
Given a point and the slope:
m = 6; (3, 4)
Use the point slope form of the equation:
y – 4 = 6(x – 3)
y – 4 = 6x – 18
y – 6x = -14

9. Homework
p , 5 – 13 odd, 21 – 27 odd, 33, 35