Question

find the ratio which are the points p(X,2) divides the line segment joining the point a(12,5) and b(4,-3) also find X plz give answer for this​

Answer 1

Answer:     ratio a:b = 3:5        p(X, 2) = p(9, 2)

Step-by-step explanation:

Plot points a = (12, 5) and b = (4, -3) and draw a line segment from a to b.

Notice that when y = 2, X = 9 so point p = (9, 2)      see graph

The distance from a to p = 3√2

The distance from b to p = 5√2

So the ratio of a:b = 3√2:5√2       = 3:5  when simplified

To find the distance, use the distance formula OR pythagorean theorem.