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EQ: How can I graph linear functions? I will graph linear functions.
Functions, Equations, and
GraphsCh. 2.3
Linear Functions and Slope-Intercept Form
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EQ: How can I graph linear functions? I will graph linear functions.
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
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EQ: How can I graph linear functions? I will graph linear functions.
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).
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EQ: How can I graph linear functions? I will graph linear functions.
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
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EQ: How can I graph linear functions? I will graph linear functions.
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)
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EQ: How can I graph linear functions? I will graph linear functions.
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)
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EQ: How can I graph linear functions? I will graph linear functions.
Slope of a line
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EQ: How can I graph linear functions? I will graph linear functions.
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)
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EQ: How can I graph linear functions? I will graph linear functions.
Writing Linear Equations
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EQ: How can I graph linear functions? I will graph linear functions.
Writing Linear Equations
Now you try…
What is the equation of the line?
a. m= 6, y-intercept is (0,5)
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EQ: How can I graph linear functions? I will graph linear functions.
Writing Linear Equations
Now you try…
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EQ: How can I graph linear functions? I will graph linear functions.
Writing Equations in Slope-Intercept Form
5x-4y=16
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EQ: How can I graph linear functions? I will graph linear functions.
Writing Equations in Slope-Intercept Form
Now you try…
a. 3x + 2y = 18
b. -7x – 5y = 35
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EQ: How can I graph linear functions? I will graph linear functions.
Graphing a Linear Equation
What is the graph of -2x + y = 1?
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EQ: How can I graph linear functions? I will graph linear functions.
Graphing a Linear Equation
Now you try…
What is the graph of 4x – 7y = 14
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EQ: How can I graph linear functions? I will graph linear functions.
Homework!
Workbook page 35-36, 2-24 EVEN
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EQ: How can I graph linear functions? I will graph linear functions.
Closure
(On your bell sheet)