1. Warm up (10/22/14) Write an equation given the following info:

2. 5. & 6. Write the equation of each graph   
y = 2x – 3
y = -3/2x + 3

3. Review HW

4. Skills Check

5. EOC Review
Question of the Day

6. PARALLEL LINES Graphs: Lines Never Intersect and are in the same plane
Equations:
Same Slopes
Different y-intercepts

7. PERPENDICULAR LINES Graphs: Lines Intersect at 90º angles Equations:
Opposite Reciprocal Slopes
With the same or different y-int

8. Find the Opposite Reciprocal Slopes

9. Are these lines parallel, perpendicular, or neither?
y = -2x + 1
y = -2x – 4
y = 3x – 4
y = -3x + 1
y = 1/5 x + 2
y = -5x + 6
parallel
neither
perpendicular

10. Are these lines parallel, perpendicular, or neither?
4. y = -2x + 1
y = -1/2x – 4
5. y = 3x – 4
y = 1 + 3x
6. y = 5/6 x + 2
y = -6/5 x + 6
neither
parallel
perpendicular

11. Remember to distribute and simplify!
Point-Slope Form of an equation of a line is:
y = m(x – x1) + 𝒚 𝟏
Where ( 𝒙 𝟏 , 𝒚 𝟏 ) is your given point and m is the given slope.
Remember to distribute and simplify!

12. How to Write an Equation of a Line PARALLEL to another and given a point
1. Given equation should be solved for y (y = mx + b)
Write down the slope of that line
Substitute m and ( 𝒙 𝟏 , 𝒚 𝟏 ) in 𝐲=𝒎(𝒙− 𝒙 𝟏 )+ 𝒚 𝟏 .
Simplify into slope-intercept form.

13. Write a line parallel to the line 2x + y = 3 and passes through the point (-2, 5).
Work on left side of t-chart, step by step notes on right side
y = -2x + 1

14. Write a line parallel to the line y = 3x – 5 and passes through the point (-5, -2).
Work on left side of t-chart, step by step notes on right side
y = 3x + 13

15. Write a line parallel to the line y = -4x + 1 and passes through the point (2, -1).
Work on left side of t-chart, step by step notes on right side
y = -4x + 7

16. Write a line parallel to the line y = -x – 7 and passes through the point (-4, -4).
Work on left side of t-chart, step by step notes on right side
y = -x – 8

17. 1. Given equation should be solved for y (y = mx + b)
How to Write an Equation of a Line PERPENDICULAR to another and given a point
1. Given equation should be solved for y (y = mx + b)
Write down the OPPOSITE RECIPROCAL slope of that line
Substitute m and ( 𝒙 𝟏 , 𝒚 𝟏 ) in 𝐲=𝒎(𝒙− 𝒙 𝟏 )+ 𝒚 𝟏 .
Simplify into slope-intercept form.

18. Write a line perpendicular to the line y = ½ x – 2 and passes through the point (1, 0).
Work on left side of t-chart, step by step notes on right side
y = -2x + 2

19. Write a line perpendicular to the line y = -3x + 2 and passes through the point (6, 5).
Work on left side of t-chart, step by step notes on right side
y = 1/3x + 3

20. Write a line perpendicular to the line 2x + 3y = 9 and passes through the point (6, -1).
Work on left side of t-chart, step by step notes on right side
y = 3/2 x – 10

21. Write a line perpendicular to the line y = 2x – 1 and passes through the point (2, 4).
Work on left side of t-chart, step by step notes on right side
y = -1/2x + 5

22. Write a line perpendicular to the line and passes through the point (5, 1).
Work on left side of t-chart, step by step notes on right side
y = 3x – 14