Answer:
point A coordinates are (-2,-6)
Step-by-step explanation:
Point A (-2,y)
point B (4,2)
x_1= -2, y_1= y_1 (unknown)
x_2= 4, y_2=2
distance=10
using the formula for distance between two points;
distance=[tex]\sqrt{(x_{2} - x_1)^{2} +(y_2-y_1)^{2}[/tex]
10=[tex]\sqrt{(4 - (-2))^{2} +(2-y_1)^{2}\\[/tex]
10=[tex]\sqrt{(6)^{2} +(2-y_1)^{2}\\\\[/tex]
square both sides
[tex]10^{2} ={36 +(2-y_1)^{2}\\[/tex]
[tex]100-36=(2-y_1)^{2} \\\sqrt{64} =2-y_1\\8=2-y_1\\y_1=2-8=-6[/tex]
