Question

Find the distance between (3,7) and (-1,4)​

Answer 1

Answer:

5

Step-by-step explanation:

To find the distance between two points, use the distance formula, $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$. The $x_1$ and $y_1$ represent the x and y values of one point, while the $x_2$ and $y_2$ represent the x and y values of another point. Thus, substitute the x and y values of the given points into the appropriate places of the formula and solve:

$d = \sqrt{((-1)-(3))^2+((4)-(7))^2} \\d = \sqrt{(-1-3)^2+(4-7)^2} \\d = \sqrt{(-4)^2+(-3)^2} \\d = \sqrt{16 + 9 } \\d = \sqrt{25} \\d = 5$

Thus, the distance is 5 units.