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

ANSWER

$x + y + 2 = 0$

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

$x + y + 2 = 0$