1. Lesson 6-2 Point Slope Form Objective: Students will be able to: write linear equations in point slope form write linear equations in standard form

2. Slope Intercept Form Where m is the slope and b is the intercept What we know so far……

3. Point- Slope form is: Where m is the slope and (x 1, y 1 ) is the given point The New Stuff.. Point – Slope Form

4. Using Point-Slope Form 1243 5 -2-3-3 -4-5 1 2 3 4 5 -1 -2-2 -3-3 -4-4 -5-5 (2,2) We need the slope and a point: Plug it into the point- slope form Simplify

5. Write the Equation in Point-Slope Form Step 1: Plug it in

6. Point-Slope Form Write the equation of a line given the point (x,y) m y–y1=m(x–x1) y–2= 3(x–5) 3 with a slope of (5,2)

7. Write the point slope form of an equation that a. passes through (-3,5) with a slope of –3/4 b. a horizontal line that passes through (-6,2)

8. Video http://www.phschool.com/atschool/academ y123/english/academy123_content/wl- book-demo/ph-214s.html

9. A Challenge Can you write the equation of a line in point-slope form that passes through (-3,6) and (1,-2)

10. Standard Form Ax + By = C A, B & C are integers A cannot be negative No fractions or decimals

11. Put each equation in STANDARD FORM Example 1: y = 2x + 3

12. Put each equation in STANDARD FORM Example 2: y = 2/5x - 6

13. Put each equation in STANDARD FORM Example 3: -2x = ½y + 6

14. Ex 4: Write an equation in standard form that goes through the points (1,1) and (3,2). 1.Find slope first 2.Plug into Point-Slope Form 3.Put in Standard Form

15. Homework: p. 336 # 18 –36, evens and 40