find the equation of straight

2010-12-30 9:00 am
x intercept at(-4,0) , y intercept at (0,6)

solution:

x/-4 +y/6 = 1

why the right handsite should be 1??

回答 (1)

2010-12-30 9:52 am
✔ 最佳答案
It is called the intercept form.Prove :Let x intercept at (a , 0) , y intercept at (0 , b) The equation of this line can be find by two points form :(y - b) / (x - 0) = (b - 0) / (0 - a)bx = - a(y - b)bx + ay = ab(bx + ay) / (ab) = ab / (ab)x/a + y/b = 1Sub a = - 4 , b = 6 get :x/-4 +y/6 = 1


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