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)

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

Step-by-step explanation:

y = -1/3x -6

The slope is -1/3

Take the negative reciprocal to find the slope of the line that is perpendicular

- (-3) = 3

The slope would be 3

We have the slope and a point

Using point slope form

y-y1 = m(x-x21)

y-5 = 3(x--1)

y-5 = 3(x+1)

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

Step-by-step explanation:

Given equation of line:

Comparing it with the standard form of equation of line

y=mx+b

m = -1/3

Let m1 be the slope of line perpendicular to the given line.

We know that the product of slopes of two perpendicular lines is -1.

The equation of line in point slope form is:

where x_1 and y_1 is the point from which the line passes.

So, putting the values of slope and point,

Option D is correct ..

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the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights

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