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Answer:
y = - x -
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y + 6 = (x - 5) ← is in point- slope form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= -
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - , thus
y = - x + c ← is the partial equation
To find c substitute (- 1, - 2) into the partial equation
- 2 = + c ⇒ c = - 2 -
= -
y = - x -
← equation of perpendicular line