數學3題唔該><關於coordinate(20點)急!!!

2012-11-08 1:10 am
1.Are the points A(2,4) and B(3,9) lying on the graph of the equation y=4x-3?

2.It is known that the graph of the equation 2x-5y=a cuts the x-axis at A(5,0)
and cuts the y-axis at B(0,b)
(a) find the value of a
(b) Using the result of (a) ,find the value of b.

回答 (1)

2012-11-08 1:35 am
✔ 最佳答案
1.
Equation of the graph : y = 4x - 3

When x = 2 and y = 4 :
L.S. = 4
R.S. = 4(2) - 3 = 5
L.S. ≠ R.S.
Hence, A(2, 4) does NOT lie on the graph of theequation y = 4x - 3

When x = 3 and y = 9 :
L.S. = 9
R.S. 4(3) - 3 = 9
L.S. = R.S.
Hence, B(3, 9) lies on the graph of the equation y = 4x- 3


2.
(a)
Equation of the graph : 2x - 5y = a

A(5, 0) lies on the graph.
Put x = 5 and y = 0 into the equation 2x - 5y = a :
2(5) - 5(0) = a
a = 10

(b)
Equation of the graph : 2x - 5y = 10
B(0, b) lies on the graph.
Put x = 0 and y = b into the equation 2x - 5y = 10 :
2(0) - 5(b) = 10
b = -2
參考: 賣女孩的火柴


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