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)

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.