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alex41 [277]
3 years ago
5

Find the equation of the line described.

Mathematics
1 answer:
tino4ka555 [31]3 years ago
4 0

Answer:

y = - \frac{1}{3} x + \frac{19}{3}

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 = 3x + 6 ← is in slope- intercept form

with slope m = 3

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

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{3} , thus

y = - \frac{1}{3} x + c ← is the partial equation

To find c , substitute (4, 5) into the partial equation

5 = - \frac{4}{3} + c ⇒ c = 5 + \frac{4}{3} = \frac{19}{3}

y = - \frac{1}{3} x + \frac{19}{3} ← equation of perpendicular line

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