Question

Find the distance between the points (-4,-3) and (-1,7) round to the nearest tenth

Answer 1

Answer:

$\sqrt{109}$ units

Step-by-step explanation:

To find the distance between two points on a graph, we use the distance formula $d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$ where $d$ is the distance between points $(x_1,y_1)$ and $(x_2,y_2)$

For this problem, we will identify $(x_1,y_1)\rightarrow(-4,-3)$ and $(x_2,y_2)\rightarrow(-1,7)$:

$d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(7-(-3))^2+(-1-(-4))^2}\\\\d=\sqrt{10^2+3^2}\\\\d=\sqrt{100+9}\\\\d=\sqrt{109}$

Therefore, the distance between $(-4,-3)$ and $(-1,7)$ is $\sqrt{109}$ units