Question

4. 3. What is the distance between (-5, 4) and (-1, 4)?"1842 4 6HEMark only one oval.-5 units-4 units4 units5 units00T910 points

Answer 1

Given:

Point is (-5,4) and (-1,4)

Find-:

Distance between two-point

Explanation-:

Distance between two point is:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Where,

$\begin{gathered} (x_1,y_1)=\text{ First point} \\ \\ (x_2,y_2)=\text{ Second point} \end{gathered}$$\begin{gathered} (x_1,y_1)=(-5,4) \\ \\ (x_2,y_2)=(-1,4) \end{gathered}$

So, the distance between two points is:

$\begin{gathered} D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ \\ D=\sqrt{(-1-(-5))^2+(4-4)^2} \\ \\ D=\sqrt{(-1+5)^2+(4-4)^2} \\ \\ \end{gathered}$$\begin{gathered} D=\sqrt{(-1+5)^2+(4-4)^2} \\ \\ D=\sqrt{4^2+0^2} \\ \\ \\ D=\sqrt{4^2} \\ \\ D=4 \end{gathered}$

So, the distance is 4 units.