In what ratio does the line x-y-2 = 0 divides the line segment joining (3, -1) and (8, 9)?

ANSWER

EXPLANATION

The equation of the line connecting (3,-1) and (8,9) is

The given line segment also have equation

Or

Adding equation (2) and (1) gives,

We substitute x=5 into equation (2) to get,

This means that the point of intersection is (5,3)

Let this point divide the line segment joining (3, -1) and (8, 9) in the ratio

m:n

Then,

This implies that,

m:n=3:2

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

answer: -8.2562234e+13