Question

a line is of the length 5 and one end is at the point (1, -2)if the abscissa of the other end is 4 prove that its ordinate must be 2or -6​

Answer 1

Hence Proved

Hope this helps !

Answer 2

Step-by-step explanation:

5=√(4-1)^2+(y+2)^2

5^2=9+y^2+4+4y

25-13=y^2+4y

12=y^2+4y

y^2+4y-12=0

y^2+6y-2y-12=0

y(y+6)-2(y+6)=0

(y-2)(y+6)=0

y=-6,2