Question

SHOW YOUR WORK!!

What is the distance between point A (-3, -2) and Point B (4, -7)?

Answer 1

Answer:
`\bold{√(74)}`

Explanation:

`\text{Use the distance formula: }d_AB=√((x_A-x_B)^2+(y_A-y_B)^2)\\where\ (X_A, y_A)=(-3, -2)\\and\ (x_B,y_B)=(4, -7)\\\\\\d_AB=√((-3-4)^2+[-2-(-7)]^2)\\\\.\quad =√((-7)^2+(5)^2)\\\\.\quad =√(49+25)\\\\.\quad =\boxed{√(74)}`