# 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 :

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