Which expression gives the distance between the points (x1, y1) and (x2, y2)?
Check the final answer first, then review the worked steps.
Step-by-step solution
The distance formula between two points $(x_1, y_1)$ and $(x_2, y_2)$ is $\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$. For points $(4, 6)$ and $(7, -3)$, this is $\sqrt{(7-4)^2 + (-3-6)^2}$. Option A uses $(6-3)^2$ instead of $(-3-6)^2$. Option D uses $(6+3)^2$ instead of $(-3-6)^2$. Option A is the correct expression.
Answer
$\sqrt{(7-4)^2 + (-3-6)^2}$