This document summarizes lesson 7.8 on point-slope form in algebra 1. It discusses the standard form, slope-intercept form, and point-slope form of a line, and how to write the equation of a line in point-slope form given a point and slope. It also shows how to work backwards by being given the point-slope form to find the slope and point. Students are given examples of using point-slope form and working backwards, and practice problems to complete on their own.

1. Algebra 1
Lesson 7.8
Point-Slope Form

2. Table Discussion
Standard Form
Slope-Intercept Form
Slope

4. Given
Tool

5. slope
y-intercept
x-intercept
point
point
point
Slope
Formula
SlopeIntercept
Form
Standard
Form
?

6. Ultimate Goal:
With given information...
Know the name of the line,
and be able to graph it

7. y = mx + b
y = mx + b

8. Slope Formula
Slope-Intercept Form
Standard Form
Point-Slope Form

9. Variations of Point-Slope Form:
y - y1 = m(x - x1)
y - y0 = m(x - x0)
y - y = m(x - x )

10. Given:
point: (-1,3)
slope: 3
y - y1 = m(x - x1)

11. Given:
Given:
point: (-3,-1) slope: 2 point: (-4,-3) slope: 2
y - y1 = m(x - x1)
y - y1 = m(x - x1)

12. DO IT BACKWARDS!
Given: Point-Slope form, Find: slope & point

13. BACKWARDS!
y - y1 = m(x - x1)
y-3
Slope:
3
= 4 (x
+ 2)
Point:

14. You're Turn:
y+4
Slope:
1
= 2 (x
Point:
"Your"
- 9)
SMOTD

15. A DJ Company charges a $200
set-up fee, then $50 per hour. The
table below represents the cost
per hour including the set-up fee.
Hour(x) 1
2
3
4
5
6
Cost(y) 250 300 350 400 450 500
y - y1 = m(x - x1)

22. http://www.youtube.com/watch?v=DWw-g5F6NgM
4:57

23. Homework: