Question

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

Answer:

y = x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - x - 1 ← is in slope- intercept form

with slope m = - 1

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-1}$ = 1, thus

y = x + c ← is the partial equation of the perpendicular line

To find c substitute (- 1, - 2) into the partial equation

- 2 = - 1 + c ⇒ c = - 2 + 1 = - 1

y = x - 1 ← equation of perpendicular line