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12 votes
12 votes
I need help with a question

User Ergun
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1 Answer

18 votes
18 votes

Answer

Option B is correct.

The equation of the line is

y + 12 = (-1/3) (x - 2)

Step-by-step explanation

The general form of the equation in point-slope form is

y - y₁ = m (x - x₁)

where

y = y-coordinate of a point on the line.

y₁ = This refers to the y-coordinate of a given point on the line

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

x₁ = x-coordinate of the given point on the line

So, we need to compute the slope of this line to solve it.

To do that, it should be noted that for two lines that are perpendicular to each other, their slopes are related through

(m₁)(m₂) = -1

For this question, the slope of the line given as y = 3x is 3.

So, we can calculate the slope of the line that we want.

m₁ = 3, m₂ = ?

(m₁) (m₂) = -1

3m₂ = -1

Divide both sides by 3

(3m₂/3) = (-1/3)

m₂ = (-1/3) = -⅓

So, for the line we want,

y - y₁ = m (x - x₁)

m = slope = -⅓

Point = (x₁, y₁) = (2, -12)

x₁ = 2

y₁ = -12

y - y₁ = m (x - x₁)

y - (-12) = (-1/3) (x - 2)

y + 12 = (-1/3) (x - 2)

Hope this Helps!!!

User Tranbi
by
3.4k points