2 lines with the same slope and the same y-intercept the lines ...

How many solutions will there be? Equations must be in the form Y = mx + b, so youcan compare slopes.2 lines with different slopes 2 lines with the same slope,lines intersect parallel lines never intersectone solution, Independent systemno solutions, Inconsistent systemy = x + 2 y = -2x + 2 y = -2x + 1 y = -2x -32 lines with the same slope andthe same y-interceptthe lines coincide (same line)infinite solutions, Dependent systemy = 3x + 4 -12x + 4y = 16Classify without graphing, compare slopes.1. 3x + y = 515x + 5y = 22. y = 2x + 3-4x + 2y = 63. x - y = 5y + 3 = 2x1

Try On Your Own:2

Real world problems.Get out your Graphing Calculators!Banking: To pay your monthly bills, you can either open a checking account or use an onlinebanking service. A local bank charges $3 per month and $.40 per check, while an online servicescharges a flat fee of $9 per month.a. Write and graph a system of linearequations to model the cost c ofeach service for b bills that youneet to pay monthly.b. Find the point of intersection of thetwo linear models. What does theanswer represent? ( , )c. If you pay about 12 bills per month,which service should you choose.Fees: Suppose you are going on vacation and leaving your dog in a kennel. The Bowowerycharges $25 per day, which includes a one-time grooming treatment. The Poochpadcharges $20 per day and a one-time fee of $30 for grooming.a. Write a system of equations torepresent the cost c for d daysthat your dog will stay at akennel.b. Using a graphing calculator, findthe number of days for which thecosts are the same.c. If your vacation is a week long,which kennel should you choose?3