Question

find the distance between the points a(-7,-3)f(1,3)​

Answer 1

Answer:

The distance between the points a(-7,-3)f(1,3) is 10 units.

Explanation:

Given points :

• a (-7, -3)
• f (1, 3)

Find the distance between the two points.

Using the distance formula :

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

Where,

• $\sf x_2 \: and \: x_1 \: is 1 , \:-7\:$
• $\sf y_2 \: and \: y_1 \: is 3, \:-3\:$

Substitute the given values :

$\sf \longrightarrow d = \sqrt{ { \bigg(1 - ( - 7) \bigg)}^{2} + \bigg( 3 - ( - 3)\bigg)^2}$

$\sf \longrightarrow d = \sqrt{( 1+ 7 {)}^{2} + {(3 + 3)}^{2} }$

$\sf \longrightarrow d = \sqrt{ {8}^{2} + {6}^{2} }$

$\sf \longrightarrow d = \sqrt{64 + 36}$

$\sf \longrightarrow d = \sqrt{100}$

$\sf \longrightarrow d = 10 \: units$

$\therefore$ The distance between the points a(-7, -3) & f(1, 3) is 10 units.

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