Respuesta :

choixongdong

Answer:

A. y - 5 = 3(x + 1)

Step-by-step explanation:

y = -1/3 x - 6

This line, slope = -1/3

Perpendicular lines, slope is opposite and reciprocal, so slope = 3

Equation that passes thru (-1,5)

y - 5 = 3(x + 1)

carlosego

For this case we have that if two lines are perpendicular, then it follows that:

[tex]m_ {1} * m_ {2} = - 1[/tex]

We have [tex]m_ {1} = - \frac {1} {3}[/tex]

So:

[tex]- \frac {1} {3} * m_ {2} = - 1\\m_ {2} = \frac {-1} {- \frac {1} {3}}\\m_ {2} = 3[/tex]

Then, the equation is of the form:

[tex]y-y_ {0} = m (x-x_ {0})[/tex]

We have the point:

[tex](x_ {0}, y_ {0}) = (- 1,5)[/tex]

We replace:

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

ANswer:

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

Option A

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