Question

find the distance between the points (-10, -6) and (-4, -6). units submit

Explanation:

Step1: Identify the formula for distance

For two points \((x_1,y_1)\) and \((x_2,y_2)\), the distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here \(x_1=-10,y_1 = - 6,x_2=-4,y_2=-6\).

Step2: Substitute the values into the formula

Substitute the values: \(d=\sqrt{(-4-(-10))^2+(-6 - (-6))^2}\).
Simplify inside the square - root:

• For the \(x\) - part: \(-4-(-10)=-4 + 10=6\).
• For the \(y\) - part: \(-6-(-6)=-6 + 6 = 0\).

So \(d=\sqrt{6^2+0^2}\).

Step3: Calculate the distance

Since \(6^2 = 36\) and \(0^2=0\), then \(d=\sqrt{36+0}=\sqrt{36}\).
And \(\sqrt{36}=6\).

Answer:

\(6\)