Question

Which expression gives the distance between the points (4, 6) and (7, -3)?

Answer 1

The distance formula is
$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$.  In the ordered pair (4, 6), 4 is the x-coordinate and 6 is the y-coordinate.  In the ordered pair (7, -3), 7 is the x-coordinate and -3 is the y-coordinate.  Substituting those values in gives us
$\sqrt{(4-7)^2+(6--3)^2}$.  Since subtracting a negative is the same as adding a positive, we now have

Answer 2

Answer:

The expression gives the distance between the points (4, 6) and (7, -3) is Option (C) .

i.e

$Distance\ formula = \sqrt{(7 - 4)^{2} + (6 +3)^{2}}$

Step-by-step explanation:

Formula

$Distance\ formula = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}$

As the point are  (4, 6) and (7, -3) .

Put points in the formula

$Distance\ formula = \sqrt{(4 -7)^{2} + (6- (-3))^{2}}$

$Distance\ formula = \sqrt{(7 - 4)^{2} + (6 +3)^{2}}$

$Distance\ formula = \sqrt{(3)^{2} + (9)^{2}}$

$Distance\ formula = \sqrt{9 + 81}$

$Distance\ formula = \sqrt{90}$

$\sqrt{90} = 9.5\ units\ (Approx)$

Distance formula = 9.5 Units (Approx)

Therefore Option (C) is correct.