ANSWER
The distance is between point A(4, -3) and B( -4,3) is 10 units.
EXPLANATION
Given: A(4, -3) and B( -4,3).
To find the distance between the two points, we will use the formula below:
[tex]|d|=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]From the points given,
x₁ = 4 y₁ = -3 x₂=-4 y₂=3
Substitute the formula into the equation and evaluate.
[tex]|AB|=\sqrt[]{(-4-4)^2+(3+3)^2}[/tex][tex]=\sqrt[]{(-8)^2+(6)^2}[/tex][tex]=\sqrt[]{64+36}[/tex][tex]=\sqrt[]{100}[/tex][tex]=10[/tex]
Hence, the distance is between point A(4, -3) and B( -4,3) is 10 units.
