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

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

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.

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.