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Published byDewi Susman Modified over 6 years ago
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y=mx + b 4.3 Linear Equations Slope-Intercept Form y = 2x - 5
m = slope and b = y-intercept (where the line crosses the y-axis) y = 2x - 5 slope = 2 and the y-intercept = -5 m = -2/3 and b = 7
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Write an equation given m and b.
If m = 4 and b = -2, write the equation in slope-intercept form. y = 4x -2 Try this one: slope is ¼ and y- intercept is -6.
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Writing an equation from a graph
Try Example 2 Check your Progress on page 205 y = ¼x -1
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Graphing y = mx + b 4 is the y-intercept. Figure out b. Graph it
Figure out m. Use it to graph another point Draw a line.
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Write in y = mx + b form and then determine the slope and y-intercept.
2x + 5y = 10 - 2x - 2x 5y = -2x + 10 m = -2/5 5 5 5 b = 2
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Graph in standard form. You can use the cover method or you can change it to slope intercept form and graph it using b and m.
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3x + 4y = 12 4 3 Cover up method! Cover up 4y. What does x equal?
Plot it on the x-axis. Cover up 3x. x What does y equal? 3 Plot it on the y-axis. Then use a straightedge and draw the line!
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(Bank, Silver Dollar, Grape)
Slope-intercept form 3x + 4y = 12 4y = - 3x +12 y = - 3/4x + 3 b = 3 m = -3/4 Homework #29 Worksheets (Bank, Silver Dollar, Grape)
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