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1 answer:
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Answer:
y = - x + 2
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 = 2x + 1 ← is in slope- intercept form
with slope m = 2
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
, thus
y = - x + c ← is the partial equation
To find c substitute (8, - 2) into the partial equation
- 2 = - 4 + c ⇒ c = - 2 + 4 = 2
y = - x + 2 ← equation of perpendicular line
Since 
, we have 