1(a)If A(-1,-1) and B(3,7) both lie on the straight line y=ax+b , find the values of a and b .
(b)Solve the simultaneous equations y = ax+b , 3x+y = 7 by graphical method.(give your answers correct to 1 decimal place.)
Mathematics in action 2B P.8.46 Question Number 40(a) and (b)
Mathematics
2013-02-05 8:14 am
回答 (1)
2013-02-06 5:23 am
✔ 最佳答案
1a.so what you need to find now is the equation of AB.
slope of AB= (7-(-1))/(3-(-1)) = 2
hence by using point slope formula:
2=(y-7)/(x-3)
the equation of AB: y=2x+1
Hence the value of a=2 and b=1
1b.
https://docs.google.com/file/d/0B6JvUxaRWLImNGZGMFY3Q0U5VEk/edit?usp=sharing
hence x=1.3, y=3.3 (corr. to 1 dc pl.)
參考: hope it's right.
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