Question
Identify an equation in point-slope form for the line perpendicular to y=-2x+8 that passes through (-3,9) A. y-9=(1)/(2)(x+3) B. y+3=(1)/(2)(x-9) C. y+9=2(x-3)fv D. y-9=-2(x+3)
Solution
4.4
(336 Votos)
Nara
Profissional · Tutor por 6 anos
Resposta
To find the equation of a line perpendicular to
that passes through
, we need to determine the slope of the perpendicular line.The slope of the given line
is
. The slope of a line perpendicular to this line is the negative reciprocal of
, which is
.Now, we can use the point-slope form of a line equation, which is
, where
is a point on the line and
is the slope.Substituting the values, we have:
Simplifying the equation, we get:
Therefore, the equation in point-slope form for the line perpendicular to
that passes through
is:A.