Question

Find the distance between the points (-3, -1) and (9, 4) on the coordinate plane.

Answer 1

Step-by-step explanation:

Soln,

The given data are (-3,-1) and (9,4)

d^2=(9+3)^2+(4+1)^2

d^2=12^2+5^2

d^2=144+25

d^2=169

d=[square root]169

d=13

The distance is 13.

Answer 2

Answer:

(-3,-1)=(x1,y1)

(9,4)=(x2,y2)

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

$\sqrt{ ( 9 + 3) ^{2} + (4 + 1) ^{2} }$

$\sqrt{12 ^{2} + {5}^{2} }$

$\sqrt{144 + 25}$

$\sqrt{169}$

=13

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