Question

Line segment AC has endpoints A (-1,-3.5) and C (5,-1). Point B is on line segment AC and is located at (0.2,-3). What is the ratio of AB/BC

Answer 1

AB/BC = (1.3) / (5.2). Hope this helps :)

Explanation:

Answer 2

The first thing you should do in this case is find the distance between the points.
The distance between two points can be thought of as a line.
To find the length of this line, you can use the distance formula:
d = √ (x2 - x1) ^ 2 + (y2 - y1) ^ 2
We have then:
AC distance:
AC = root ((5 - (-1)) ^ 2 + (-1 - (-3.5)) ^ 2) = 6.5 units
AB distance:
AB = root ((0.2 - (-1)) ^ 2 + (-3 - (-3.5)) ^ 2) = 1.3 units
BC distance:
BC = 6.5-1.3 = 5.2 units

Answer:
The ratio is:
AB / BC = (1.3) / (5.2)