# Find the distance of the line 2x + y = 3 from the point ( – 1, – 3) in the direction of the line whose slope is 1.

Given: (x1,y1) = A( – 1, – 3)

And tan θ = 1

To find:

The distance of a point from the line in the direction of the line.

Explanation:

So, the equation of the line passing through ( – 1, – 3) and having slope 1 is

Formula Used:

x – y = 2

Let x – y = 2 intersect the line 2x + y = 3 at point P.

Let AP = r

Then, the coordinate of P is given by

x and y

Thus, the coordinate of P is

Clearly, P lies on the line 2x + y = 3

3r

r

Hence, the distance of the point ( – 1, – 3) from the line 2x + y = 3 is

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Various Forms of Equations of line45 mins
Parametric Equations of Straight line48 mins
Slope, inclination and angle between two lines48 mins
Interactive Quiz on Equations of line23 mins
Straight line | Analyse your learning through quiz56 mins
General Equation of a line43 mins
Motion in a Straight Line - 0665 mins
Motion in a Straight Line - 0556 mins
Motion in a Straight Line - 0372 mins
Motion in a Straight Line - 1169 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses