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2 years ago

Point c partitions line segment AB in the ratio 1:3. What is the y-coordinate of c.

Mathematics

1 answer:

Veseljchak [2.6K]2 years ago

8 0

The y-coordinate of c is -4 if the Point c partitions line segment AB in the ratio of 1:3.

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

We have two points:

A(-4, -7), and B(12, 5)

Let's assume A(x1, y1) and B(x2, y2)

The ratio is 1:3 = m:n

Let's assume the y-coordinate is a

From the section formula:

$\rm a = \dfrac{my_2+ny_1}{m+n}$

$\rm a = \dfrac{1\times5+3\times(-7)}{1+3}$

a = -4

Thus, the y-coordinate of c is -4 if the Point c partitions line segment AB in the ratio of 1:3.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ1

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------------------------

Steps:

1st write out equation

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Second write the conjugant and multiply it.

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After multiplying you should get,

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<em>good luck, i hope this helps :)</em>

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