A line passes through the point (–1,–2) and is perpendicular to the line with the equation y = –x – 1. What's the equation of the line?

Answer 1

When finding lines that are perpendicular to equations and a point, do these following steps:

1.) Take the inverse of the slope and change the sign. In this case, the slope will be + 1.

2.) To obtain a point-slope equation:

y - y₁ = m(x - x₁)

y -(-2) = 1(x - -1)

y + 2 = 1(x +1)

3.) To get it is slope-intercept form

y + 2 = 1(x +1)

y = x + 1 -2

y = x -1

Answer 2

The product of slopes of perpendicular lines is -1, so the slope of the perpendicular line is

m = -1/-1 = 1

y = x + b

Get b from the given point.

-1 + b = -2

b = -1

y = x - 1