Friend, sorry for misreading you question the first time.

Now, let’s go back to square one.

When you are given a line equation

, to which the perpendicular line equation is

.

These two lines intersect at a point at the coordinate (a, b). Knowing

and coordinate (a, b), you can plug them into

and find

.

Then

<---This is the answer to you part 1 of your assignment.

Next we will find the equation a distance = 1 unit from the origin (0,0):

Distance equation is given by

Since we know

and the origin (0,0), we can plug them into the distance equation so that it becomes:

and obtain

Now we have the line equations perpendicular to L:1 and passing through the point at coordinate (a, b) and 1 unit away from the origin:

<---this is the answer to part 2 of your assignment. One line is below the origin, and the other above the origin.

Note: In your assignment,

is given as

. The (a,b) is (1,2), and the equation

is only a decoy that was used to confuse you. It’s only another line that passes through (1,2) that bears no relation with