1. Point-Slope Form Slope-Intercept Form
SWBAT:
Find a slope of the line
Write equations in slope-intercept and point-slope forms

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

3. Where two points are given as (x1,y1) and (x2,y2)
What we Know so far….
Slope
Where two points are given as (x1,y1) and (x2,y2)

4. The New Stuff… Write equations
Slope-intercept form is:
Where m is the slope and b is the y-intercept
Example: Find the equation of the line with slope -2 and y-intercept 8
y = -2x + 8
Easy if I know the y-intercept… but if I don’t?

5. The New Stuff… Point- Slope Form
Point- Slope form is:
Where m is the slope and (x1,y1) is the given point that the line goes through

6. The New Stuff… Point- Slope Form
Point- Slope form is:
Where does this equation come from?

7. Using Point-Slope Form to graph1 2 4 3 5 -1 -2 -3 -4 -5
Slope is
Point is (2,3)

8. Manipulate Point-Slope Form to Slope-Intercept form
Simplify

9. Using Point-Slope Form to graph1 2 4 3 5 -1 -2 -3 -4 -5
Slope is
Point is (4,-3)

10. Manipulate Point-Slope Form to Slope-Intercept form

11. Your turn