Question

Find the equation to the straight line cutting off an intercept of 5 units on negative direction of y-axis and being equally inclined to the axes.  

Solution

Correct option is

y = ±x – 5

 

Here    c = –5  

                     

i.e.,  m = ±1   

Hence  required equation is  

        

SIMILAR QUESTIONS

Q1

The angle between two lines is  and the slope of one of them is . Find the slope of the other line.

Q2

 

A line passes through the points A(2, –3) and B(6, 3). Find the slopes of the lines which are  

1. parallel to AB

2. perpendicular to AB

Q3

 

Find the equation of the straight line parallel to y-axis and at a distance  

(i).3 units to the right

(ii). 2 units to the left

Q4

 

Find the equation of the straight line parallel to x-axis and at a distance

(i). 5 units above the x-axis

(ii). 9 units below the x-axis

Q5

 

Find the equation of the straight line which passes through the point (2, –3) and is  

1. parallel to the x-axis

2. perpendicular to the x-axis

Q6

Find the equation of a line which is equidistant from the lines .

Q7

If the straight line y = mx + c passes through the points (2, 4) and (–3, 6), find the values of m and c.

Q8

 

What are the inclination to the x-axis and intercept on y-axis of the line 

              ?

Q9

Find the equation of the straight line cutting off an intercept of 3 units on negative direction of y-axis and inclined at an angle  to the axis of x.

Q10

 

Find the equations of the bisectors of the angle between the coordinate axes.