y=mx + b 4.3 Linear Equations Slope-Intercept Form y = 2x - 5

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Presentation transcript:

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

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.

Writing an equation from a graph Try Example 2 Check your Progress on page 205 y = ¼x -1

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.

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

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.

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!

(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)