Question

(15 POINTS!) What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−1, −1)?
y + 1 = _____ (x + 1)

Answer 1

The four answer choices are equal and pass through the point (-3,1), which you verify replacing the variables:

y - 1 = (x + 3)

1 - 1 = -3 + 3

0 = 0.

The other factor that you have to considerate is the slope.

The slope of the equation y - 1 = x + 3 is 1 (the coefficient of the x).

Given that the slopes of two parallel line are the same (equal), you need to determine the slope of the parallel line.

Once you know the slope of the parallel line, you can choose the right option.

The equation shown, y - 1 = x + 3 is the right fit if and only if the parallel line has slope 1.