Question

point a is located at (0, 4) and point b is located at (−2, −3). find the x value for the point that is 1 over 4 the distance from point a to point b.

Answer 1

The answer should be -0.5

Answer 2

Answer:   The answer is -0.5.

Step-by-step explanation:  The given points are A(0,4) and B(-2,-3). Let the co-ordinates of the new point P be (q,r), whose x value is 1/4 the distance from point A to point B. So, the ratio in which P divides AB will be m:n=1:3.

We have to calculate the x-coordinate of P using the internal division method of finding the coordinated of a dividing point.

Now, the x-coordinate of P is given by

$q=\dfrac{m\times(-2)+n\times 0}{m+n}\\\\\Rightarrow q=\dfrac{1\times (-2)+3\times 0}{1+3}\\\\\Rightarrow q=\dfrac{-2}{4}\\\\\Rightarrow q=-0.5.$

Thus, the answer is -0.5.