Find the equation of the line and cuts off equal intercepts on the coordinate axes and passes through the point (4,7).

To Find: The equation of the line with equal intercepts on the coordinate axes and that passes through the point (4,7).

Given : Let a and b be two intercepts of x-axis and y-axis respectively.

Also,given that two intercepts are equal, i.e., a=b

And (4, 7) passes through the point (x, y)

Formula used:

Now since intercept form of a line is given:

= 1

= 1

= 1

a= 11 = b

Therefore, The required Equation of the line is = 1

x + y = 11