Question

What is the equation of the line, in general form, that passes through point (-1, -1) and is parallel to the line whose equation is x + y = 3?

x - y + 2 = 0
x+ y - 2 = 0
x + y + 2 = 0

Answer 1

`x + y + 2 = 0`

Step-by-step explanation

The given line passes through;

(-1,-1) and it is parallel to x + y = 3.

This line given to us can be rewritten as

y=-x+1

It has slope m=-1.

The line parallel to this line also has slope m=-1.

We obtain the equation of the line using the formula:

`y-y_1=m(x-x_1)`

We substitute the slope and the point to obtain:

`y - - 1 = - 1(x - - 1)`

`y + 1 = - 1(x + 1)`

`y = - x - 1 - 1`

The equation of the line is

`x + y + 2 = 0`