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Identify an equation in point-slope form for the line perpendicular to y = -1/3x - 6 that passes through (-1, 5).

A. y + 1 = 3(x - 5)
B. y + 5 = 1/3(x - 1)
C. y - 5 = -1/3(x + 1)
D. y - 5 =3(x + 1)

Respuesta :

frika

Answer:

Correct choice is D

Step-by-step explanation:

The slope of the line [tex]y=-\dfrac{1}{3}x-6[/tex] is [tex]-\dfrac{1}{3}.[/tex]

Perpendicular lines slopes satisfy the condtion:

[tex]m_1\cdot m_2=-1,[/tex]

then the slope of the perpendicular line is [tex]3.[/tex]

The equation in point-slope form of the line that passes through the point (-1, 5) is

[tex]y-5=3(x-(-1)),\\ \\y-5=3(x+1).[/tex]

Answer:

y-5=3(x+1)

apeks

Step-by-step explanation:

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