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Licemer1 [7]
3 years ago
12

Find the equation of the line

Mathematics
1 answer:
Elis [28]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x - 2 ← is in slope- intercept form

with slope m = 6

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{6}, thus

y = - \frac{1}{6} x + c ← is the partial equation

To find c substitute (6, - 2 ) into the partial equation

- 2 = - 1 + c ⇒ c = - 2 + 1 = - 1

y = - \frac{1}{6} x - 1 ← equation of line

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