we must be knowing that slope of line is given by m=[y-p]/[x-q] at (q,p) and m=[y-k]/[x-l ] at [l,k]

By equating m on both sides we have

[y-k]/[x-l] =[y-p]/[x-q]

Interpreting the intercepts (0,a)=(q,p) and (b,0)=(l,k)

we have [y-a]/x=y/[x-b]

on simplifing this we get the equation of line y= (-a/b)x+a

Geometrically this signifies slope of line m=(-a/b) and the above intecepts.

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