Help me I keep getting it wrong

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