Question

Find the equation of the straight line which cut off an intercept 5 from the y axis and are equally inclined to the axes.

Answer 1

Answer: The equation of the straight line is x + y= 5.

Step-by-step explanation:

We know,

The equation of straight line in intercept form is given by:

y/a +x/b= 1 where a= y-intercept, b= x-intercept

Given that,

y-intercept= 5 units

and  the line is equally inclined to the axes.

So, x-intercept would be same as y-intercept.

x-intercept= 5 units

Therefore, the equation of straight line would be given by:

y/5 +x/5= 1

=> x + y= 5