Question

Which number line can be used to find the distance between (–1, 2) and (–5, 2)?

Answer 1

$\huge\bold{ solution}$

$(x1 \: \: \: y1) = ( - 1 \: \: \: 2) \\ (x2 \: \: \: y2) = ( - 5 \: \: \: 2) \\ distance \\ = \sqrt{ {(x2 - x1)}^{2} +(y2 - y1) } \\ = \sqrt{ (- 5 + 1) ^{2} + {(2 - 2)}^{2} } \\ = \sqrt{16} \\ = 4$
$\huge\bold {thank \: u}$

Answer 2

We are given the points (-1,2) , (-5,2) and we have to find the number line that can be used find the distance between them.

The y coordinate of the two points is same (equal to 2) , so the number line that can be used to find the distance between them is y = 2.

Distance between the points = |-5+1| = 4

The number line is y = 2.