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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. 2.4 Writing Equations of Lines. Writing equations of lines:. Slope-intercept form: Use when you’re given the slope, m, and the y-intercept, b.
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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
2.4 Writing Equations of Lines
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.
EXAMPLE: Write the equation of the line shown:
EXAMPLE: Write the equation of the line shown:
EXAMPLE: Write an equation of the line that passes through (2,3) and has a slope of ½ .
EXAMPLE: Write an equation of the line that passes through (7,-4) and has a slope of 2/5.
EXAMPLE: Write an equation of the line that passes through (-2,-1) and (3,4)
EXAMPLE: Write an equation of the line that passes through (-8,8) and (0,1)
EXAMPLE: Write an equation of the line that passes through (3,2) and is a) parallel and b) perpendicular to the line y = -3x + 2
2.4 (cont) Slope Word Problems p. 93 & 94
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.
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.
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
homework: 95-96/15-39 mult. of 3, 25,26,28