Write an equation of the line that passes through (3,2) and is perpendicular to the line y= 1/3x-3
1 answer:
Answer:
y = - 3x + 11
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 - 3 ← is in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= - 3, then
y = - 3x + c ← is the partial equation
To find c substitute (3, 2) into the partial equation
2 = - 9 + c ⇒ c = 2 + 9 = 11
y = - 3x + 11 ← equation of perpendicular line
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