Please help me solve these problems! Please provide explanations / work shown for each problem.

Exercises 1.3 Determine if the equations below are linear. If an equation is linear rearrange it into the form y = mx+b and give the values of m and b. 1. 2x + 5x - y =9 2. 3xy - 2x = y 3. x =-3y - 8y + 3x -9 -3 = 3 X y 5. 4x* + 2y -3x = 4x2 6. -2y = -8 - 3y 7. x' = 5 - y XExercises 1.4 For each of the equations below create a table of 5 ordered pairs and, using any two of these pairs, calculate the ratio of the change in y to the change in X. 1. y =7x -5 2. y = 4x +7 3. y=-4x +5 4. y = 1.5x + 3 5. y = 7x +1 3 2 6. y= -1.87x + 3.91 7. 4y + 5x = 9 8. 3(2x -4) + 3y = 3x 9. 2x + 3y =2y -7x 10. y = xExercise 1.5 For each of the situations given in problems 1 through 8 provide the following: Please provide the following: a. Definition or meaning of x, including the units of x. b. Definition or meaning of y, including the units of y c. The equation in the form of y = mx +b. d. Two ordered pairs that satisfy the equation. 1. Long distance phone service costs $5.00 per month with a usage fee of 8 cents per minute. The equation you create will allow you to calculate the total monthly phone cost from the number of minutes the phone is used. 2. The cost to rent a car is $185.00 per week and $.40 per mile. The equation you create will allow you to use the mileage driven in a week to calculate the total weekly rental cost. 3. The value of a piece of equipment depreciates linearly. It cost $135,000 new. Each year it depreciates at a rate of 10% of its original purchase price. The equation you create will relate the value of the equipment to its age. (Hint: the slope in negative) 4. The amount of water used by a hotel when there are no guests is 2000 gallons per day. Each guest uses, on average, 150 gallons per day. The equation you create will relate total water use per day to the number of guests in the hotel for that day. 5. The cost for electric service is a $6.50 per month connection charge plus $.15 per kilowatt-hour. The equation you create will allow you to predict the total monthly charge from the amount of electricity used in that month 6. Archaeologists working at a dig site estimate that every inch of depth represents 500 years of age. The equation you create will relate the age ofa layer to its depth. 7. The slope of a roof is expressed as its pitch. A 4 pitch roof increases vertically 4 inches for every foot the roof extends horizontally. If the lowest part of a 4 pitch roof is 14 feet above the ground create an equation that relates the height of the roof to horizontal distance from the lowest point. (Hint: be careful of the units) 8. It is estimated that 40,000 acres of farmland are lost to development in New Jersey each year. If there were approximately 800,000 acres of active farmland in the state in 2006 create an equation that relates the amount of farmland left to the number of years that have elapsed since 2006. For problems 9 through 15 calculate the slope using two points and the equation: m =(y:y;) (x2x1) 9. y=3x-4 10 y=5x +2 2 1. y=-2x -3 12 y=:3x -1 4 2 13. 3x2y=y+7 14. 4 =8x-6 15. y=32x4.1