Question

Find the equation of the bisector of the angles between the coordinates axes.

Answer 1

Given, angle which line makes with x axis is equal to ${\tan }^{-1}3$ .

So, the slope of line is 3. i.e. m=3.

Also, the line makes an intercept of 4 units on negative direction of y axis.

Therefore c=-4.

Hence, the equation of line is y = 3x - 4