find the ratio in which the line segment joining the points p 3 - 1 and q 8, 9 is divided by the line y minus x + 2 = 0
Answers
2:3 is the ratio in which the line segment joining the points p (3 ,- 1) and q (8, 9) is divided by the line y - x + 2 = 0
Step-by-step explanation:
Points
p = (3 , - 1) &
q = (8 , 9)
slope of pq = (9 - (-1)) / (8 - 3)
= 10/5
= 2
y = 2x + c
9 = 2*8 + c
=> c = -7
y = 2x - 7
y - x + 2 = 0
=> y = x - 2
x - 2 = 2x -7
=> x = 5
y = 3
(5 , 3) is intersection point divided p = (3 , - 1) & q = (8 , 9) in m :n ratio
=> 5 = (8m + 3n)/(m + n) or 3 = (9m - n)/(m + n)
=> 5m + 5n = 8m + 3n
=> 2n = 3m
=> m/n = 2/3
2:3 is the ratio in which the line segment joining the points p (3 ,- 1) and q (8, 9) is divided by the line y - x + 2 = 0
Learn More:
In what ratio is the line segment joining (–3, 1) and (7, –2) divided by ...
https://brainly.in/question/12195315
Shane has a segment with endpoints C(3, 4) and D(11, 3) that is ...
https://brainly.in/question/13278512
find the ratio in which the line segment joining( - 2 ,- 3) and (5 ,6) is ...
https://brainly.in/question/1579670