what is the equation of the line perpendicular to y=2/3x 1 that passes through the point (12, –6)? a. 3x 2y = 24 b. 3x 2y = 6 c.
1 answer:
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Answer:
y = x + 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 = - 3x + 13 is in this form
with m = - 3
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
y = x + c ← is the partial equation
To find c substitute (6, 10) into the partial equation
10 = 2 + c ⇒ c = 10 - 2 = 8
y = x + 8 ← equation of line