Question

find the value of y for which the distance between the points A(2,3) and B(-1,y) is 5.​

Answer 1

Step-by-step explanation:

Given: Points A(2,−3),B(10,y) and AB=10

Distance formula: AB=(x2−x1)2+(y2−y1)2

AB2=(x2−x1)2+(y2−y1)2

(10)2=(10−2)2+(y+3)2

100=(8)2+y2+6y+9

y2+6y+9+64=100

y2+6y+73−100=0

y2+6y−27=0

y2+9y−3y−27=0

y(y+9)−3(y+9)=0

(y+9)(y−3)=