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

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.

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section 6.3 Pg. 343-344 3) 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

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)

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

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

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

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

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

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)

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)

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)

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)

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)

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)

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 ___________________ _______________________________________________ ______________________________________________.

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

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

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

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.

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.

-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)