Question

Ready

How do you find the distance between
the points shown?
Add the distance between
each point and the y-axis.
What is the distance between
point A and point B?
units
A(-8,-4)
B (2,-4)

Answer 1

10 units

Explanation:

`\boxed{\begin{minipage}{7.4 cm}\underline{Distance between two points}\\\\$d=√((x_2-x_1)^2+(y_2-y_1)^2)$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the two points.\\\end{minipage}}`

To find the distance between two points, substitute the given points into the distance formula and solve for d.

Given points:

• A (-8, -4)
• B (2, -4)

`\begin{aligned}\implies d&=√((x_B-x_A)^2+(y_B-y_A)^2)\\&=√((2-(-8))^2+(-4-(-4))^2)\\&=√((10)^2+(0)^2)\\&=√(100)\\&=10\end{aligned}`

However, as the y-values of the two given points are the same, we can simply find the difference between the x-values of the two points to find the distance between point A and B:

`\begin{aligned}\implies \textsf{Distance}&=x_B-x_A\\&=2-(-8)\\&=2+8\\&=10\end{aligned}`

Therefore, the distance between point A and point B is:

• 10 units