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Functions, Equations, and Graphs Ch. 2.3 Linear Functions and Slope-Intercept Form EQ: How can I graph linear functions? I will graph linear functions.

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Presentation on theme: "Functions, Equations, and Graphs Ch. 2.3 Linear Functions and Slope-Intercept Form EQ: How can I graph linear functions? I will graph linear functions."— Presentation transcript:

1 Functions, Equations, and Graphs Ch. 2.3 Linear Functions and Slope-Intercept Form EQ: How can I graph linear functions? I will graph linear functions.

2 Bell Work List the domain and range of the relation. Determine whether or not each relation is a function. 1. (3, -2), (4,4), (0,-2), (4,1), (3,2) 2. (3,-8), (-9,1), (3,2), (-4,1), (-11,-2) Evaluate the function. 3. f(4) = 17x+3 EQ: How can I graph linear functions? I will graph linear functions.

3 Linear Functions and Slope- Intercept Form READ Although any two-variable equation can be graphed on a coordinate grid by plotting ordered pairs, there are often more efficient ways. The first step is to recognize the general shape of a graph from its equation. For example, the graph of y=3x^2 – 2 is a parabola and y = |x-2| is V-shaped. Graphs of linear equations are straight lines. There are various forms for these equations (standard, slope-intercept, point-slope, and intercept form). EQ: How can I graph linear functions? I will graph linear functions.

4 Slope-Intercept Form https://www.khanacademy.org/math/cc-eighth- grade-math/cc-8th-linear-equations-functions/8th- slope-intercept-form/v/graphing-a-line-in-slope- intercept-form https://www.khanacademy.org/math/cc-eighth- grade-math/cc-8th-linear-equations-functions/8th- slope-intercept-form/v/graphing-a-line-in-slope- intercept-form EQ: How can I graph linear functions? I will graph linear functions.

5 Finding Slope What is the slope of the line that passes through the given points? a. (-3,7) and (-2,4) b. (3,1) and (-4, 1) c. (7,-3) and (7,1) EQ: How can I graph linear functions? I will graph linear functions.

6 Finding Slope Now you try… What is the slope of the line that passes through the given points? a. (5,4) and (8,1) b. (2,2) and (-2,-2) c. (9,3) and (9, -4) EQ: How can I graph linear functions? I will graph linear functions.

7 Slope of a line EQ: How can I graph linear functions? I will graph linear functions.

8 Writing Linear Equations Slope-intercept form: y=mx+b What is the equation of each line? 1. m=1/5, and the y-intercept is (0,-3) EQ: How can I graph linear functions? I will graph linear functions.

9 Writing Linear Equations EQ: How can I graph linear functions? I will graph linear functions.

10 Writing Linear Equations Now you try… What is the equation of the line? a. m= 6, y-intercept is (0,5) EQ: How can I graph linear functions? I will graph linear functions.

11 Writing Linear Equations Now you try… EQ: How can I graph linear functions? I will graph linear functions.

12 Writing Equations in Slope- Intercept Form 5x-4y=16 EQ: How can I graph linear functions? I will graph linear functions.

13 Writing Equations in Slope- Intercept Form Now you try… a. 3x + 2y = 18 b. -7x – 5y = 35 EQ: How can I graph linear functions? I will graph linear functions.

14 Graphing a Linear Equation What is the graph of -2x + y = 1? EQ: How can I graph linear functions? I will graph linear functions.

15 Graphing a Linear Equation Now you try… What is the graph of 4x – 7y = 14 EQ: How can I graph linear functions? I will graph linear functions.

16 Homework! Workbook page 35-36, 2-24 EVEN EQ: How can I graph linear functions? I will graph linear functions.

17 Closure (On your bell sheet) EQ: How can I graph linear functions? I will graph linear functions.


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