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Graph the equation of the line, using slope-intercept form and then find the intercepts: 1. y = 2x+1 2. 5x+3y= -15.

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Presentation on theme: "Graph the equation of the line, using slope-intercept form and then find the intercepts: 1. y = 2x+1 2. 5x+3y= -15."— Presentation transcript:

1 Graph the equation of the line, using slope-intercept form and then find the intercepts: 1. y = 2x+1 2. 5x+3y= -15

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3 Writing equations of lines:  Slope-intercept form: Use when you’re given the slope, m, and the y-intercept, b. y = mx + b  Point-slope form: Use when given the slope, m, and a point, and then use  Two Points: Use when given 2 points, to find the slope: then once you’ve found the slope, use pt-slope formula.

4 Write the equation of the line shown:

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6 Write an equation of the line that passes through (2,3) and has a slope of ½.

7 Write an equation of the line that passes through (7,-4) and has a slope of 2/5.

8 Write an equation of the line that passes through (-2,-1) and (3,4)

9 Write an equation of the line that passes through (-8,8) and (0,1)

10 Write an equation of the line that passes through (3,2) and is a) parallel and b) perpendicular to the line y = -3x + 2

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12 2.4 (cont) Slope Word Problems p. 93 & 94

13 In 1970 there were 160 African American women in elected public office in the United States. By 1993 the number had increased to 2332. Write a linear model for the number of African American women who held office at any given time between 1970 & 1993. Then use the model to predict the number that will hold office in 2010.

14 Remember average rate of change can represent slope. (Women per Year). m = change in women = 2332 - 160 change in years 1993-1970 ≈ 94.4 (women per year) Now use this as slope in your linear model.

15 Number of Office holders = Number in 1970 + Average rate Of change * Years since 1970 Number of officeholders = y (people) Number in 1970 = 160 (people) Average rate of change = 94.4 (people/year) Years since 1970 = t (years) y = 160 + 94.4 t In 2010, 40 years from 1970, you can predict: y = 160 + 94.4 (40) ≈ 3936

16 Assignment

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