1. Topic: Relations and Functions
Aim: How do we graph a linear equation using the Slope-Intercept Form?
Do Now: Copy the following definitions in your notes.
Slope -
describes how steep the line is and how it 
slants. (mountain slopes)
y-intercept -
the point at which the line hits the
y-axis

2. y = mx + b Let's Investigate... y-intercept (0, b)
Can you describe the critical values of my line?
Slope:_______
Y-Intercept:_______
X-Intercept:________
The equation of my line is: y = 2x - 4
Slope-Intecept Form of a Line
y = mx + b
Slope
(Steepness and 
direction of line)
y-intercept
(0, b)

3. Slope-Intercept Form y - intercept Slope 1) y = x 2 4) y = -2x +6 5
y coordinate,
where the line crosses
the y-axis.
Slope
Directions: Describe the graphs of the linear equations below.
1) y = x 2
2) y = x
4) y = -2x +6 5
3) y = 3x - 5

4. 9) Slope = -2; y-intercept = -7
Slope-Intercept Form
y - intercept
y coordinate,
where the line crosses
the y-axis.
Slope
Directions: Write the equations given the slope and y-intercept.
5) Slope = 3; y-intercept = -2  6) Slope = -3 ; y-intercept = 5
  2
7) Slope = ; y-intercept = 0 8) Slope = 4; y-intercept = 1
9) Slope = -2; y-intercept = -7

5. Slope-Intercept Form Slope y - interceptx y 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 -7 -8 -9
-10
The slope of the line at the 
left is _________________
The y - intercept of the line at the left is ____________
The equation of the line must 
be: 
_______________________

6. Slope-Intercept Form
#1)
Slope
y - intercept
Equation: _______________

7. Slope-Intercept Form
#2)
Slope
y - intercept
Equation: _______________

8. Slope-Intercept Form

9. Slope-Intercept Form

10. Slope-Intercept Form

11. Slope-Intercept Form

12. Slope-Intercept Form

13. Slope-Intercept Form

14. Slope-Intercept Form

15. Slope-Intercept Form

16. Slope-Intercept Form

17. Slope-Intercept Form

18. Slope-Intercept Form

19. Slope-Intercept Form

20. Slope-Intercept Form

21. Slope-Intercept Form

22. Slope-Intercept Form

23. Slope-Intercept Form

24. Summary Homework What is slope? What are the 4 types of slope?
How do we find slope from a graph?
What is the y-intercept?
What is slope-intercept form?
Homework
Complete Handout

25. Slope-Intercept Form
The equation of the line graphed below is y = 3x + 2.
A linear function is of the form
y = mx + b.
1) What does the x and y 
represent?
2) What does the m and b 
represent?
Go to the following site and snap to integers.
Have students discuss how the line changes as the 
m value is adjusted. What does the m represent?
Have students discuss how the line changes as the 
b value is adjusted. What does the b represent?
notes