the x-intercept and the y-intercept MS Algebra A-F-IF-4 – Ch. 5.4 Graphing Linear Equations Using Intercepts ALGEBRA SUPPORT Graph Functions Using the x-intercept and the y-intercept

SUPPORT Class Learning Target Title: 5.4 Graphing Linear Equations Using Intercepts Date: SUPPORT Class Learning Target By the end of the period, I will graph a linear equation using x and y intercepts with a domain { x } and a range { f(x) }. I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity. Teacher Note: Graph paper helpful for this lesson.

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section 5.4 Pg. 276-277 3) Section ______ TxtBk. Prob.#7,9,25,43,47-50 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due

Ax + By = C Finding Intercepts of a Linear Equation x-intercept (x, 0) Notes: Finding Intercepts of a Linear Equation Ax + By = C A = Coefficient of x B = Coefficient of y C = Constant x-intercept (x, 0) Set y = 0 and solve for x y-intercept (0, y) Set x = 0 and solve for y

Ax + By = C Finding Intercepts of a Linear Equation x-intercept (x, 0) Notes: Finding Intercepts of a Linear Equation Ax + By = C A = Coefficient of x B = Coefficient of y C = Constant (0, 2) (4, 0) Ex. 3x + 6y = 12 x-intercept (x, 0) Set y = 0 and solve for x y-intercept (0, y) Set x = 0 and solve for y 3(0) + 6y = 12 6y = 12 6 6 y = 2 3x + 6(0) = 12 3x = 12 3 3 x = 4 x-intercept (4, 0) y-intercept (0, 2)

4x + y = 4 x-intercept y-intercept HW # 7 Step 1) Set y = 0; Find x Step 2) Set x = 0; Find y Find the x-intercept and the y-intercept of the graph of the equation: 4x + y = 4 x-intercept y-intercept x y

2x - 8y = 24 x-intercept y-intercept HW # 9 Step 1) Set y = 0; Find x Step 2) Set x = 0; Find y Find the x-intercept and the y-intercept of the graph of the equation: 2x - 8y = 24 x-intercept y-intercept Choose the appropriate scale for your graph! x y

Storm Check (Think, Write, Discuss, Report) How do you find the x-intercept for a given linear equation? To find the x-intercept for a given linear equation, I have to ____________________ _____________________________________________. How do you find the y-intercept for a given linear equation? To find the y-intercept for a given _________________________________________.

Graph the equation (& Label the Intercepts): HW # 25 x y Graph the equation (& Label the Intercepts): 3x + y = 15 Step 1) Set y = 0; Find x Step 2) Set x = 0; Find y Step 3) Graph Points & Line Step 4) Label the intercepts Choose the appropriate scale for your graph!

2x + 5y = -10 5x + 2y = -10 5x + 2y = 10 2x + 5y = 10 x y HW # 43 The graph of which equation is shown? x y 2x + 5y = -10 2x + 5y = 10 5x + 2y = -10 5x + 2y = 10

Storm Check (Think, Write, Discuss, Report) When looking at a graph, what does the x-intercept and the y-intercept each represent? When looking at a graph, the x-intercept represents ___________________________________________ ______________________________________. When looking at a graph, the y-intercept represents __________________________________________.

The D-intercept represents ________________________ HW # 47 State what the intercepts of the graph of the equation represent for the situation described. You have $2.30 in dimes and nickels. The situation is given by 0.10D + 0.05N = 2.30 where D is the number of dimes and N is the number of nickels. The D-intercept represents ________________________ _______________________________________________. The N-intercept represents ________________________ Choose the appropriate scale for your graph! Step 1) Set D = 0; Find N Step 2) Set N = 0; Find D Step 3) Graph Points & Line D N

The x-intercept represents ________________________ HW # 48 State what the intercepts of the graph of the equation represent for the situation described. You earned 85 points on a test that has questions worth 4 points and questions worth 5 points. The situation is given by 4x + 5y = 85 where x is the number of 4 point questions answered correctly and y is the number of 5 point questions answered correctly. The x-intercept represents ________________________ _______________________________________________. The y-intercept represents ________________________ Step 1) Set y = 0; Find x Choose the appropriate scale for your graph! Step 2) Set x = 0; Find y Step 3) Graph Points & Line x y

The B-intercept represents ________________________ HW # 49 State what the intercepts of the graph of the equation represent for the situation described. In one month you earn $240 babysitting for $10 per hour and dog walking for $8 per hour. The situation is given by 10B + 8D = 240 where B is the number of hours you spend babysitting and D is the number of hours you spend dog walking. The B-intercept represents ________________________ _______________________________________________. The D-intercept represents ________________________ Step 1) Set D = 0; Find B Choose the appropriate scale for your graph! Step 2) Set B = 0; Find D Step 3) Graph Points & Line B D

x y Write an equation for the perimeter: Find the intercepts & graph the equation. HW # 50 The perimeter of a rectangular garden at the Filoli gardens in Woodside, CA, is 900 feet. The garden has a width of x feet and a length of y feet. Equation for the perimeter: Intercepts & graph of the equation. Choose the appropriate scale for your graph! x y

Vocabulary – Linear Equation Standard Form Slope-Intercept Form X-Intercept (X, 0) Y-Intercept (0, Y) 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: 5.4 Graphing Linear Equations Using Intercepts Date: Learning Target By the end of the period, I will graph a linear equation using x and y intercepts with a domain { x } and a range { f(x) }. I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity. Teacher Note: Graph paper helpful for this lesson.

Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder? 2) Section 5.4 Pg. 276-277 3) Section ______ TxtBk. Prob.#7,9,25,43,47-50 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder? Table of Contents Date Description Date Due

Graph the function (Label the X & Y Intercepts) 2x – 5y = 10 x y Ticket OUT. x y Step 1) Set x = 0; Find y Step 2) Set y = 0; Find x Step 3) Graph Points/Line Turn to your partner and share your answer. Please use correct answer. Partner B, please share what Partner A told you.

Graph the function (Label the X & Y Intercepts) 2x – 5y = 10 x y -2 Ticket OUT. ANSWER x y -2 5 Step 1) Set x = 0; Find y Step 2) Set y = 0; Find x Step 3) Graph Points/Line 2(0) – 5y = 10 -5y = 10 -5 -5 y = -2 Step 1) 2x – 5(0) = 10 2x = 10 2 2 x = 5 Step 2) (5, 0) Turn to your partner and share your answer. Please use correct answer. Partner B, please share what Partner A told you. (0, -2)