Question

question 2
question 3
find the distance between the points (-3, -4) and (0, -4).
the distance is □

Explanation:

Step1: Identify distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $(x_1,y_1)=(-3,-4)$ and $(x_2,y_2)=(0,-4)$.

Step2: Substitute values

Substitute $x_1=-3$, $y_1 = - 4$, $x_2=0$, $y_2=-4$ into the formula:
\[

$$\begin{align*} d&=\sqrt{(0-(-3))^2+((-4)-(-4))^2}\\ &=\sqrt{(0 + 3)^2+(-4 + 4)^2}\\ &=\sqrt{3^2+0^2}\\ &=\sqrt{9+0}\\ &=\sqrt{9} \end{align*}$$

\]

Step3: Calculate result

$\sqrt{9}=3$.

Answer:

$3$