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lapo4ka [179]
3 years ago
11

find the equation of the line passing through the point (-4,1) and the perpendicular to the line y=1/3x+4

Mathematics
1 answer:
son4ous [18]3 years ago
5 0

Answer:

The answer is

<h2>y =  - 3x -  11</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question

<h3>y =  \frac{1}{3} x + 4</h3>

Comparing it with the general equation above

Slope / m = 1/3

Since the lines are perpendicular to each other the slope of the other line is the negative inverse of the original line

That's

Slope of perpendicular line = - 3

Equation of the line using point (-4 , 1) and slope - 3 is

<h3>y - 1 =  - 3(x + 4) \\ y - 1 =  - 3x - 12 \\ y =  - 3x - 12 + 1</h3>

We have the final answer as

<h3>y = - 3x - 11</h3>

Hope this helps you

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