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Find a linear function f(x) = mx + b whose graph has a given slope and y intercept

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Find a linear function f(x) = mx + b whose graph has a given slope and y intercept.

6. slope: 4/5; y-intercept (0,28)

Find an equation of the line having the given slope and contatining the given point.

14. m = 3, (-2,-2)

Find an equation of the line containing the given pair of points.

28. (-4,-7) and (-2,-1)

Write an equation of the line containing the given point and parallel to the given line.

36. (-4,-5); 2x + y = -3

Write an equation of the line containing the given point and perpendicular to the given line.

42. (-3,-5); 5x - 2y = 4

Solve

48. Value of a Computer. True Tone Graphis bought a computer for 3800.00. The value V(t) of the computer depreciates at a rate of 50.0 per month.
a) Formulate a linear function for the value V(t) of the computer after t months
b) Graph the model
c) Use the model to determined the value of the computer after 10 1/2 months.

Solve the system of the equation graphically. Then classify the sysytem as consistent or inconsistent and the equation as dependent or independent.

6. 2y = 6 - x, 3x - 2y =6

14. y - x = 5, 2x - 2y = 10

16. y = 3 - x, 2x + 2y = 6

Solve the system by the substitution method

6. m - 2n = 3, 4m + n = 1

18. The perimeter of a soccer field is 340 m. The length exceeds he width by 50 . Find the length and the width.

22. An airplane has a total of 152 seats. The number of coach-class seats is 5 more than six times the number of first class seats. How many of each type of seat are on the plane?

Solve the system by the elimination method

6. 3x + 2y = 3, 9x - 8y = -2

16. 3x - 2y = 1, -6x + 4y = -2

18. 3x - 5y = -2, 5y - 3x = 7