Question

Line segment AB has endpoints A(-2, 0) and B(4, 8).

Answer 1

The ratio of $\frac{CB}{AC}$ is 3.

How to calculate a distance ratio in a line segment

The ratio of $\frac{CB}{AC}$ is the length of line segment CB divided by line segment AC. Each length is found by Pythagorean theorem:

Line segment AC

$AC = \sqrt{[2.5-(-2)]^{2}+(6-0)^{2}}$

$AC = 7.5$

Line segment CB

$CB = \sqrt{(4-2.5)^{2}+(8-6)^{2}}$

$CB = 2.5$

Finally, the ratio of $\frac{CB}{AC}$ is:

$\frac{CB}{AC} = \frac{2.5}{7.5}$

$\frac{CB}{AC} = 3$

The ratio of $\frac{CB}{AC}$ is 3.

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