## Question

Find the equation of a line which makes an angle of 135^{o} with positive direction of *x*-axis and passes through the point (3, 5).

### Solution

*x* + *y* – 8 = 0

The slope of the line = *m* = tan 135^{o} = –1

Here *x*_{1} = 3, *y*_{1} = 5.

∴ The required equation of the line is

.

#### SIMILAR QUESTIONS

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

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

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

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

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

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

?

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*.

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.

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

Find the equation of the straight line bisecting the segment joining the points (5, 3) and (4, 4) and making an angle of 45^{o} with the positive direction of x-axis.