2. 400

3. Warm up
Tell whether the relation is a function.
{(-1, 5), (-3, 2), (2, 0), (1, 2)}
Evaluate: f(x) = 2x2 – 4 when x = -3
Find the slope: (5, -1) and (7, -1)
Tell whether the lines are parallel, perpendicular, or neither.
Line 1: (-1, 6) and (2, 8)
Line 2: (3, 2) and (1, 5)
Yes 14
m = 0
m = 2/3
m = -3/2
perpendicular

4. Writing Equations of Lines

5. Essential Question
How can you find an equation of a line given the slope and the y intercept of the line? Given the slope and a point on the line? Given two points on the line?

6. I. How to Write an Equation of a Line Given m and b
1. Write down y = mx + b
2. Substitute slope for m and y-intercept for b.
3. Simplify the equation

7. Write the equation of the line given m and b.
Ex. 1 Slope is -5 and y-intercept is 2
y = -5x + 2
Ex. 2 Slope is -1/2 and y-intercept is -2
y = -½x – 2

8. Write the equation of the line given m and b.
Ex. 3 Slope is 0 and y-intercept is 3
y = 3
Ex. 4 Slope is 1/3 and y-intercept is 0

9. II. How to Write an Equation of a Line Given a Graph
Write down y = mx + b
Use any 2 “good” points on the graph to find the slope, m.
Find the y-intercept on the graph, b.
Substitute slope for m and y-int for b into the equation y = mx + b.

10. 5. Write the equation of this graph 

11. 6. Write the equation of this graph 

12. 7. Write the equation of this graph 
y = -3x + 2

13. 8. Write the equation of this graph 
y = 2x

14. 9. Write the equation of this graph 
y = 3

15. 10. Write the equation of this graph
x = - 6

16. 11. & 12. Write the equation of each graph   
y = 2x – 3
y = -3/2x + 3

17. III. How to Write an Equation of a Line Given m and a point
Write down y = mx + b.
Substitute slope for m and the point (x, y).
Solve for b.
Substitute m and b back into the equation.

18. Write the equation of the line given m and a point
Ex 13: m = 2 Point: (2, 3)
y = mx + b
3 = 2 (2) + b
b = -1
y = 2x – 1

19. Write the equation of the line given m and a point
Ex 14: m = 1/2 Point: (4,-3)
y = mx + b
-3 = 1/2 (4) + b
b = -5
y = ½ x – 5

20. Ex 15: m = -2 Point: (-5, 3) y = mx + b 3 = -2 (-5) + b b = -7
Write the equation of the line given m and a point
Ex 15: m = -2 Point: (-5, 3)
y = mx + b
3 = -2 (-5) + b
b = -7
y = -2x – 7

21. Write the equation of the line given m and a point
Ex: 16
m = 4 (1,4)
y = 4x

22. Write the equation of the line given m and a point
Ex: 17
m = ½ (-1,-2)
y = ½ x – 1 ½

23. Write the equation of the line given m and a point
Ex: 18
m = 2 (0,3)
y = 2x + 3

24. Write the equation of the line given m and a point
Ex: 19
m = 3 (3,0)
y = 3x – 9

25. Write the equation of the line given m and a point
Ex: 20
m = undefined (3,6)
x = 3

26. IV. How to Write an Equation of a Line Given TWO points
Write down y = mx + b.
Use the slope formula to find m.
Pick one of the ordered pairs & substitute slope for m and the point (x, y).
Solve for b.
Substitute m and b into the equation.

27. Equation of a Line - Given 2 points
Ex: (2, 3) (4, 5)
y = mx + b
3 = 1(2) + b
b = 1
y = x + 1

28. Equation of a Line - Given 2 points
Ex: (2, 3) (-4, 15)
y = -2x + 7

29. Equation of a Line - Given 2 points
Ex: (2, 2) (0, 4)
y = -x + 4

30. Equation of a Line - Given 2 points
Ex: 24
(2,3) (1,4)
y = -x + 5

31. Equation of a Line - Given 2 points
Ex: 25
(4,5) (5,2)
y = -3x + 17

32. Worksheet – 18 Problems Write the equation given slope and a point
Classwork
Worksheet – 18 Problems
Write the equation given slope and a point

33. Worksheet – 10 problems Given 2 points write the equation of the line
Homework
Worksheet – 10 problems
Given 2 points write the equation of the line