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:
[tex]\rm a = \dfrac{my_2+ny_1}{m+n}[/tex]
[tex]\rm a = \dfrac{1\times5+3\times(-7)}{1+3}[/tex]
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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