Find the equation to the straight line cutting offan intercept-5 from

1.	Find the equation to the straight line cutting offan intercept-5 from the axis ofy and being equally inclinedlto the axes.
Answer» SIMILAR QUESTION-find the equation of the line cutting off an intercept -2 from the y axis and equally inclined to the axis . SOLUTION- Since the required line is equally inclined with the coordinate axes, therefore, it makes either an angle of 45° or 135° with the x-axis. So, its slop is either m =tan 45° or m = tan 135° i.e., m = 1 or m = -1. It is given that c = -2. Substituting these values in y = mx + c, we obtain the required equation of the line as: y = 1(x) + (-2) or y = -1(x) + (-2) ⇒ y = x - 2 or y = -x - 2

Find the equation to the straight line cutting offan intercept-5 from the axis ofy and being equally inclinedlto the axes.

Answer»

SIMILAR QUESTION-find the equation of the line cutting off an intercept -2 from the y axis and equally inclined to the axis .

SOLUTION-

Since the required line is equally inclined with the coordinate axes, therefore, it makes either an angle of 45° or 135° with the x-axis.

So, its slop is either m =tan 45° or m = tan 135°

i.e., m = 1 or m = -1.

It is given that c = -2.

Substituting these values in y = mx + c, we obtain the required equation of the line as:

y = 1(x) + (-2) or y = -1(x) + (-2)

⇒ y = x - 2 or y = -x - 2