P (a, b) is the mid-point of a line segment between axes. Show that equation of the line is x/a + y/b = 2.

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Intercept Form of Equation of Line | PadhAiPro

Question

TextIntercept Form of Equation of Line

Find the equation of the line, which makes intercepts –3 and 2 on the x- and y-axes respectively.

Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2, 3).

Find equation of the line passing through the point (2, 2) and cutting off intercepts on the axes whose sum is 9.

Point R (h, k) divides a line segment between the axes in the ratio 1: 2. Find equation of the line.

Reduce the following equations into intercept form and find their intercepts on the axes. (i) 3x + 2y – 12 = 0, (ii) 4x – 3y = 6, (iii) 3y + 2 = 0.

Find the equations of the lines, which cut-off intercepts on the axes whose sum and product are 1 and – 6, respectively.