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2.3 Graphing Linear Equations in Slope-Intercept Form.

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Presentation on theme: "2.3 Graphing Linear Equations in Slope-Intercept Form."— Presentation transcript:

1 2.3 Graphing Linear Equations in Slope-Intercept Form

2 Intercepts X-intercept Graph crosses the x axis It occurs when y=0 (x- intercept, 0) Y-intercept Graph crosses the y-axis It occurs when x=0 (0, y-intercept)

3 y - intercept x - intercept y X

4 Slope-Intercept Form y = mx + b slope y-intercept

5 Find the slope and y-intercept of y = -5x + 6

6 If the equation is not in y=mx +b form…. Solve for y

7 Find the slope and y-intercept of 2 y = 7x - 4

8 Find the slope and y-intercept of 2x + 3y = 6 -2x 3y = - 2x + 6 3 3 3

9 Find the slope and y-intercept of -7x - 5y = 25 +7x -5y = 7x + 25 -5

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11 Steps To Graph Using y=mx+b Slope Intercept From: 1.) Solve for y so your equation is y=mx+b 2.) Plot your b (y-intercept) on the y-axis 3.) From your y intercept use your slope to go up(+) or down (-) and right and plot your 2 nd point 4.) Now that you have 2 points draw your line

12 Using y-intercept and slope, graph:

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15 How to Identify the x-intercept Algebraically Set y=0 and solve for x Geometrically Look at where the graph crosses the x axis (can only be done if graph is precise)

16 Identify the x-intercept: y-10 = -5x AlgebraicallyGeometrically

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19 Assignment TB: Page 62 (1,2,4-24 even, 29-33 all)


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