Question

1. (-7, -1), (-2, -4)

$x_1 = $\t$y_1 = $\t$x_2 = $\t$y_2=$
$d=sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
fill - in - the - blank template
$d=sqrt{(square-square)^2+(square-square)^2}$
distance(round your answer in tenths place)
$d = _____$

Explanation:

Step1: Identify the coordinates

Given points $(-7,-1)$ and $(-2,-4)$, so $x_1=-7$, $y_1 = - 1$, $x_2=-2$, $y_2=-4$.

Step2: Substitute into distance formula

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

Step3: Calculate the squares and sum

$\sqrt{25 + 9}=\sqrt{34}\approx5.8$.

Answer:

$5.8$