Question

Point C is between points A and B. The distance between points B and C is 1/4 of AB. What is the coordinate of point C?

Answer 1

How many times does 1/4 go into 8 and how many times into -12

Answer 2

Answer:  The required co-ordinate of point C is 3.

Step-by-step explanation: Given that the point C lies between the points A and B and the distance between points B and C is one-fourth of AB.

We are to find the co-ordinate of point C.

From the figure, we note that the co-ordinates of points A and B are -12 and 8 respectively.

Let x represents the co-ordinate of point C.

Then, according to the given information, we have

$BC=\dfrac{1}{4}\times AB\\\\\\\Rightarrow 8-x=\dfrac{1}{4}(8-(-12))\\\\\Rightarrow 8-x=\dfrac{1}{4}20\\\\\Rightarrow 8-x=5\\\\\Rightarrow x=8-5\\\\\Rightarrow x=3.$

Thus, the required co-ordinate of point C is 3.