SOLUTION: I need help with Lines. Question is: Find the slope and y-intercept of each line. y = 2x + 3 I have the answer in the book, However I want to know how they came up with it? Answe

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Question 4145: I need help with Lines.
Question is: Find the slope and y-intercept of each line. y = 2x + 3 I have the answer in the book, However I want to know how they came up with it? Answer:Slope = 2
y-intercept = 3
Thank you

Answer by longjonsilver(2297)   (Show Source): You can put this solution on YOUR website!
this looks fine so far: . Now multiply all the brackets out:



. Now hopefully this factorises nicely. If not --> have to use the quadratic formula. Luckily, it does factorise into:

(3x + 14)(x - 2) = 0

so, 3x+14 = 0 or x-2 = 0

so 3x = -14
--> x = -14/3...mathematically correct but physically wrong for our question.

and the other solution is x=2.

AND NOW check your answer: 3 fields are 2, 3 and 5 km so their areas are: 4, 9 and 25 km^2 --> total is 38km^2, which is correct.

jon.

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