Question

(1) What is the distance between the points (–8, –2) and (–7, –2)?

Answer 1

Answer:

The distance between points (- 8 , - 2) , ( - 7 , - 2) is 1 unit

Step-by-step explanation:

Given as :

The coordinate are

$x_1$ , $y_1$ = - 8 , - 2

$x_2$ , $y_2$ = - 7 , - 2

Let The distance between the points = d

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

Or, d = $\sqrt{((-7) - (-8))^{2} + ((-2) - (-2))^{2} }$

Or, d =  $\sqrt{(-7 + 8)^{2} + (- 2 + 2)^{2} }$

Or, d = $\sqrt{(1)^{2} + (0)^{2} }$

Or, d = $\sqrt{1 + 0}$

∴  d =  $\sqrt{1}$

i.e d = 1

So, The distance between the points = d = 1 unit

Hence, The distance between points (- 8 , - 2) , ( - 7 , - 2) is 1 unit  Answer