How do I show that the equation of a straight line that intersects the x axis at a and intersects the y axis at b can be written in the form of x/a+y/b=1. Do I need to make up some numbers to prove this answer???
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point on x axis is (a,0) and on y axis is ( 0,b)
equation of a line using 2 point form is (y-y₁)⁄(y₂−y₁) = (x−x₁)⁄(x₂−x₁)
(y-0)⁄(b-0) = (x-a)/(0-a)
y/b=(x-a)/-a
-ay=bx - ab
bx +ay = ab
bx/ab + ay/ab =ab/ab
x/a + y/b = 1
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