Answer:
y = - 2x + 8
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 - 9 ← is in slope- intercept form
with m =
given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= - 2
y = - 2x + c ← is the partial equation
to find c substitute (3, 2 ) into the partial equation
2 = - 6 + c ⇒ c = 2 + 6 = 8
y = - 2x + 8 ← equation of perpendicular line