Question

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

Answer 1

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

What is a straight line?

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

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