Line ℓ1 has the equation y=x+3 and line ℓ2 has the equation - x+y=0. find the distance between ℓ1 and ℓ2

units

Step-by-step explanation:

The equation of the line L₁ is y = x + 3 ....... (1) and that of the line L₂ is - x + y = 0 .......... (2)

We have to get the perpendicular distance between the given two lines.

Now, choose any point on the line L₂ from equation (2).

Assume the point be (0,0) {As it satisfies equation (2)}

Now, perpendicular distance from point (x1 ,y1) to a straight line ax + by + c = 0, is given by the formula

Therefore, the distance from (0,0) to the line (1) i.e. x - y + 3 = 0 is  

units. (Answer)

Step-by-step explanation: