Question

4) Find the distance between the following pairs of points. L (5, – 8), M (– 7, – 3)​

Answer 1

Topic - Distance Formula

Explanation:

Here in this question, we are asked to find the distance between the given two coordinates. We will use distance formula to find the required distance.

Distance formula is given by:

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

Assume that:

• (x1, y1) = (5, -8)
• (x2, y2) = (-7, -3)

Distance between L and M are given by:

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

$\rm Distance = \sqrt{ \left( - 3 - ( - 8) \right)^2 + ( - 7 - 5)^2}$

$\rm Distance = \sqrt{ \left( - 3 + 8 \right)^2 + ( -12)^2}$

$\rm Distance = \sqrt{ \left(5 \right)^2 + 144}$

$\rm Distance = \sqrt{ 25 + 144}$

$\rm Distance = \sqrt{169}$

$\rm Distance = \sqrt{13 \times 13}$

$\boxed{ \pink{\bf Distance =13}}$

So the required distance between points L and M is 13 units.