Answer:
see explanation
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 - 6 ← is in slope- intercept form
with slope m =
Parallel lines have equal slopes , then
y = x + c ← is the partial equation
To find c substitute (9, 2) into the partial equation
2 = 6 + c ⇒ c = 2 - 6 = - 4
y = x - 4 ← equation of parallel line
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Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= -
, then
y = - x + c ← is the partial equation
To find c substitute (9, 2) into the partial equation
2 = - + c ⇒ c = 2 +
=
y = - x +
← equation of perpendicular line