1 Answer

Brian Risk · Answer 1 · 2023-09-06T08:47:54+0000

Let M(-5, 8) = (x1, y1) and N(9, -2) = (x2, y2)

By using the distance formula, we can find the distance from M to N on the coordinate plane.

So, what is the formula for it? Let us see the formula and solve faster to get answer. Yeah, Let us start.

${ \purple{ \sf{d = \sqrt{ {(x2 - x1)}^(2) + {(y2 - y1)}^(2) }}}}$

Substitute all the values in this above formula.

${ \purple{ \sf{d = \sqrt{ {(9 - ( - 5))}^(2) + {( - 2 - 8)}^(2) } }}}$

${ \purple{ \sf{d = \sqrt{ {(9 + 5)}^(2) + {( - 10)}^(2) } }}}$

${ \purple{ \sf{d = \sqrt{ {(14)}^(2) + 100}}}}$

${ \purple{ \sf{d = √(196 + 100)}}}$

${ \purple{ \sf{d = √(296 )}}} \: { \bold{units}}$

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