1. 5.3: Slope-Intercept Form

2. Slope-Intercept Form Linear Function:
The graph of this function is a STRAIGHT LINE. 
A FAMILY of functions is a group of functions with common characteristics.
A PARENT function is the simplest function with these characteristics.
The linear parent function is y = x or f (x) = x

3. The Slope-Intercept Form
The equation of line in the slope-intercept form:
represents the _________.
represents the _______________.
y-intercept is where the line crosses the y-axis
SLOPE
Y-INTERCEPT

4. Example 2- What are the slope and y-intercept of the following equations?
a.) b.) c.)
m = m = m =
b = b = b =

5. Example 3- Find the equation of the line with a y-intercept of 1 and a slope 3.

6. Example 4 – What is the equation of the lined graphed at the right?
What is the y-intercept?_______
What is the slope? ______
Equation:

7. Writing an Equation from Two Points
STEPS:
1) Find the SLOPE of the line.
2.) Use the slope and one of the coordinates to find b.
3.) Substitute the slope and the y-intercept into the slope- intercept form to write the equation.

8. Example 5: Find the equation for the line passing through (3, −4) and (9, 0).
Slope:
Substitute Point:
Equation: _____________

9. Graphing a Linear Equation
Example 6: Graph the equation
1.) Plot the y-intercept.
2.) Use the slope to move vertically and then horizontally.
3.) Draw a line through the two points.

10. Homework: TONIGHT: p. 332-333 #’s 12-36 even TOMORROW: p
Homework: TONIGHT: p #’s even TOMORROW: p #’s 3-12, 18-23