1. Drill #21 A. Write each equation in Standard Form.
B. Identify A, B, and C
C. Find the x- and y- intercepts
D. Graph each equation using the intercepts

2. Drill #22 Write the following equation in a.) Standard Form.
b.) Identify the slope and x- and y- intercepts. c.) use the intercepts to graph the line.
Find the value of r so that the line that passes
through each pair of points has the given slope:

3. 2-3 Slope and Rate of Change
Objective: To find the rate of change, to determine the slope of a line, and to use the slope and y-intercept to find the slope intercept form of a line.

4. Slope Intercept Form
The slope intercept form of a line is: y = mx + b, Where m = slope and b = y-intercept

5. Standard Form Formulas
If an equation is in standard form
Ax + By = C
Then
X- intercept = C/A
Y- Intercept = C/B
Slope = -A/B

6. Slope
The formula for slope given two points is

7. Find the slope and y-intercept

8. Find the slope and y-intercept

9. Find the slope and y-intercept

10. Find the slope and y-intercept

11. Find the value of r…

12. Graphing Linear Equations
Standard Form:
Find the x- and y- intercepts
Slope-Intercept Form:
Use the slope and the y- intercept

13. Graphing (Slope Intercept)
Steps for graphing an equation in slope-intercept form:
1. Plot b (the y- intercept)
2. Use the slope to find a second point
3. Connect the points and draw a line

14. Example: Graph the following equation that is in slope intercept form:
y = 2x – 2
What is the slope?
What is the y- intercept?

15. Write the equation of a line:2 -4 x y

16. Classwork
Identify the equations in 2-3 Skills Practice #10-15

17. Rate Word Problems
A plane descends at a rate of 1000 ft per second. If it starts at 10,000 ft,
Write an equation to describe the situation
What altitude will the plane be at after 8 minutes?

18. Rate Word Problems
A plane ascends at a rate of 1500 ft per second. If it starts at 2,000 ft, a.) Write an equation to describe the situation b.) What altitude will the plane be at after 8 minutes?

19. Slope*
Slope: The ratio of the change in vertical units to the change in horizontal units (RISE OVER RUN).
The formula for the slope m of the line passing through and
is given by .
That is the change in the y coordinate (RISE) over the change in the x coordinate (RUN)

20. Point Slope Form Definition: An equation in the form of where
Are the coordinates of a point on the line and m is the slope of the line.
NOTE: For point slope form we need a point and the slope (or two points).