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tankabanditka [31]
1 year ago
13

I need a detailed explanation

Mathematics
1 answer:
elixir [45]1 year ago
5 0

The equation of the line in <em>explicit</em> form is y = - 2 · x + 5, whose <em>implicit</em> form is 2 · x + y = 5. (Correct choice: D)

<h3>How to find the equation of the line for the height of a triangle</h3>

In this question we must find the equation of the line perpendicular to the segment BC and that goes through the point A(x, y) = (1, 3). First, the slope of the <em>line</em> segment BC is:

m = [1 - (- 3)]/[5 - (- 3)]

m = 4/8

m = 1/2

And the slope of the line is:

m' = - 1/(1/2) = - 2

The intercept of the line is found by using the <em>explicit</em> form of equation of the line, m' = - 2 and (x, y) = (1, 3):

3 = - 2 · 1 + b

b = 5

The equation of the line in <em>explicit</em> form is y = - 2 · x + 5, whose <em>implicit</em> form is 2 · x + y = 5. (Correct choice: D)

To learn more on line equations: brainly.com/question/2564656

#SPJ1

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