Equation of a line in Intercept form

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Let AB be a line making intercepts OA = a on x-axis and OB = b on y-axis.

The coordinates of A = (a, 0) and the coordinates of B = (0,b).

Let P(x,y) be any point on AB. Since APB are collinear,

Slope of AP = Slope of AB

Dividing by ab throughout, we get



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