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