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

units

Step-by-step explanation:

The Line 1 has equation x + y = 5 ....... (1) , and  

Line 2 has equation x + y = 3 .......... (2)

Now, we have to find the perpendicular distance between line 1 and line 2.

We can say that (3,0) is a point on line 2 as it satisfies the equation (2).

Now, the perpendicular distance from point (3,0) to the line 1 will be given by the formula

units (Answer)

We know that the perpendicular distance from any external point () to a given straight line ax + by + c = 0 is given by the formula .