1. Mr. Deyo Solving Problems by Writing Equations in Point-Slope Form
MS Algebra A-F-IF-7 – Ch. 6.3a Solving Problems by Writing Equations in Point-Slope Form
Mr. Deyo
Solving Problems by Writing Equations in Point-Slope Form

2. Title: 6.3a Apply Point-Slope Form to Solve Problems
Date:
Learning Target
By the end of the period, I will apply the slope formula and the point-slope form to write equations and solve problems.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

3. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 6.3 Pg ) Section ______
TxtBk.Prob.#3-11 Odd,27-35 Odd Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

4. How To Get To Point-Slope Form
Notes:
Given
One
Point
&
SLOPE
Step 1) Plug m and one point into
y – Y1 = m(x – X1) x y X1 Y1
Step 2) Solve for y (if you want slope-intercept form)

5. HW # 3
Write an equation in point-slope form
Write an equation in point-slope form of the line that passes through the point (2, 1) and has a slope of 2.
x1, y1 m

6. HW # 5
Write an equation in point-slope form
Write an equation in point-slope form of the line that passes through the point (7, -1) and has a slope of -6.
x1, y1 m

7. HW # 7
Write an equation in point-slope form
Write an equation in point-slope form of the line that passes through the point (-8, 2) and has a slope of 5.
x1, y1 m

8. HW # 9
Write an equation in point-slope form
Write an equation in point-slope form of the line that passes through the point (-11, -3) and has a slope of -9.
x1, y1 m

9. HW # 11
Write an equation in point-slope form
Write an equation in point-slope form of the line that passes through the point ( ½ ,-12) & has a slope of -2/5.
x1, y1 m

10. m = How To Get To Point-Slope Form Y2 – Y1 X2 – X1 X1 Y1 X2 Y2 Notes:
Given
Two
Points x y X1 Y1 X2 Y2
Step 1) Make a table
Use the two points to calculate SLOPE (m)
Y2 – Y1
m =
X2 – X1
Step 2) Plug m and one point into
y – Y1 = m(x – X1)
Step 3) Solve for y (if you want slope-intercept form)

11. m = = y – y1 = m(x – x1) y – y2 = m(x – x2)
HW # 27
Given two points, write an equation in point-slope form
Write an equation in point-slope form of the line that passes through the points (6, -2) and (12, 1).
x1, y1
x2, y2
Step 1: Find the slope between 2 points x y
m = =
Step 2a: Plug m and 1st point into
Point-Slope Form
Step 2b: Plug m and the 2nd point into the
Point-Slope Form
y – y1 = m(x – x1)
y – y2 = m(x – x2)

12. m = = y – y1 = m(x – x1) y – y2 = m(x – x2)
HW # 29
Given two points, write an equation in point-slope form
Write an equation in point-slope form of the line that passes through the points (4, 5) and (-4, -5).
x1, y1
x2, y2
Step 1: Find the slope between 2 points x y
m = =
Step 2a: Plug m and 1st point into
Point-Slope Form
Step 2b: Plug m and the 2nd point into the
Point-Slope Form
y – y1 = m(x – x1)
y – y2 = m(x – x2)

13. m = = y – y1 = m(x – x1) y – y2 = m(x – x2)
HW # 31
Given two points, write an equation in point-slope form
Write an equation in point-slope form of the line that passes through the points (-5, -19) and (5, 13).
x1, y1
x2, y2
Step 1: Find the slope between 2 points x y
m = =
Step 2a: Plug m and 1st point into
Point-Slope Form
Step 2b: Plug m and the 2nd point into the
Point-Slope Form
y – y1 = m(x – x1)
y – y2 = m(x – x2)

14. m = = y – y1 = m(x – x1) y – y2 = m(x – x2)
HW # 33
Given two points, write an equation in point-slope form
Write an equation in point-slope form of the line that passes through the points (0, 9) and (8, 7).
x1, y1
x2, y2
Step 1: Find the slope between 2 points x y
m = =
Step 2a: Plug m and 1st point into
Point-Slope Form
Step 2b: Plug m and the 2nd point into the
Point-Slope Form
y – y1 = m(x – x1)
y – y2 = m(x – x2)

15. m = = y – y1 = m(x – x1) y – y2 = m(x – x2)
HW # 35
Given two points, write an equation in point-slope form
Write an equation in point-slope form of the line that passes through the points (-5, 18) and (-2, 13).
x1, y1
x2, y2
Step 1: Find the slope between 2 points x y
m = =
Step 2a: Plug m and 1st point into
Point-Slope Form
Step 2b: Plug m and the 2nd point into the
Point-Slope Form
y – y1 = m(x – x1)
y – y2 = m(x – x2)

16. Storm Check (Think, Write, Discuss, Report)
If you are given two points, how can you create a linear equation that is in point-slope form?
(2-3 sentences)
When given two points, I can create a linear
equation in point-slope form by ___________________
_______________________________________________
______________________________________________.

17. Storm Check (Think, Write, Discuss, Report) Questions on which to ponder and answer:
How are the two images similar?
How are they different?
How can these two images be related to math?
IMAGE 1
IMAGE 2

18. Vocabulary
Slope
y-intercept
Slope-Intercept Form
Point-Slope Form

19. Vocabulary Acquisition
Friendly Definition
Sketch
Wordwork
Sentence
DAY 2
1. Review word
Friendly Definition
Physical Representation
2. Draw a sketch
DAY 1
Use Visuals
Introduce the word
Friendly Definition
Physical Representation
Use Cognates
Write friendly definition
Word List
Vocabulary Acquisition
DAY 3 and/or DAY 4
1. Review the word
Friendly Definition
Physical Representation
2. Show how the word works
Synonyms/antonym
Word Problems
Related words/phrases
Example/non-example
DAY 5
1. Review the word
Friendly definition
Physical Representation
3. Write a sentence
at least 2 rich words (1 action)
correct spelling
correct punctuation
correct subject/predicate agreement
clear and clean writing

20. Title: 6.3a Apply Point-Slope Form to Solve Problems
Date:
Learning Target
By the end of the period, I will apply the slope formula and the point-slope form to write equations and solve problems.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

21. Ticket OUT.
Write an equation of the line that passes through the points (1, 5) and (4, –1).
Step 1: Find the slope between 2 points x y
Step 2a: Plug m and 1st point into
Point-Slope Form
Step 2b: Plug m and the 2nd point into the
Point-Slope Form
Turn to your partner and share your answer. Please use correct answer.
Partner B, please share what Partner A told you.

22. -2 m = = = y – y1 = m(x – x1) y – 5 = -2(x – 1) y – y2 = m(x – x2)
Ticket OUT.
Write an equation of the line that passes through the points (1, 5) and (4, –1).
Step 1: Find the slope between 2 points x y 4 -1 1 5
-1 - 5 -6 -2
m = = =
4 - 1 3
Step 2a: Plug m and 1st point into
Point-Slope Form
Step 2b: Plug m and the 2nd point into the
Point-Slope Form
Turn to your partner and share your answer. Please use correct answer.
Partner B, please share what Partner A told you.
y – y1 = m(x – x1)
y – 5 = -2(x – 1)
y – y2 = m(x – x2)
y + 1 = -2(x – 4)