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5.2 Writing the Equation of a Line Using slope intercept form. Review of Slope-Intercept Form. Name the slope and y-intercept of each equation :. y = -4 x + 3 y = 5 – x 8 x + y = 4 x - 2 y =10 y = x y = 5. m = -4, b =3 m = - , b = 5
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5.2 Writing the Equation of a LineUsing slope intercept form
Review of Slope-Intercept Form Name the slope and y-intercept of each equation: y = -4x + 3 y = 5 – x 8x + y = 4x - 2y =10 y = x y = 5 m = -4, b =3 m = - , b = 5 Rewrite as y = -8x , m = -8, b = Rewrite as y = 2x - 5, m = 2, b = -5 Rewrite as y = x + 0, m = , b = 0 Rewrite as y = 0x + 5, m = 0, b = 5
-2 +1 x y Example 2 • b = 1 • m = • y = x + 1
x y Example 3 • b = 4 • m = 0/1= 0 • y = 0x + 4, y = 4
Word Problems with slope-Int • A carnival charges $2.50 per ride after an entrance fee. You paid a total of $22.50 after 6 rides. Write an equation that gives the total cost as a function of the number of rides. Find the total cost for 15 yards.
Another word problem • A BMX race track charges a membership fee and an entry fee per race. One racer paid a total of $76 after 3 races. Another racer paid a total of $124 after 7 races. • How much does the track membership cost? • What is the entry fee per race? • Write an equation that gives the total cost as a function of the number of races entered.