The coordinates of point A are (-4,0) and the coordinates of point B are (0,3). Find the distance between these two points.
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The coordinates of point A are (-4,0) and the coordinates of point B are (0,3). Find the distance between these two points.
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The distance between two points (-4,0)≡(x1,y1) and (0,3)≡(x2,y2) is given by
d=√(x2−x1)²+(y2−y1)2²
⇒d=√(-4−0)²+(0−(+3))²
⇒d=√-16+9
⇒d=-7
⇒d=-7 units
Verified answer
Given:-
The points are A( -4,0 ) and B( 0,3 )
So,
Formula Used:-
~Distance formula
We can find out the distance between two points by using the Distance Formula.
Where,
Solution:-
Applying the distance formula:
➸ x₁ = -4
➸ y₁ = 0
➸ x₂ = 0
➸ y₂ = 3
[tex]\qquad\tt{:\implies\:Distance\:=\:\sqrt{(\:x_{2}\:-\:x_{1}\:)^{2}\:+\:(\:y_{1}\:-\:y_{2}\:)^{2}\:} }[/tex]
[tex]\qquad\tt{:\implies\:Distance\:=\:\sqrt{[(\:0\:-\:(-4)\:]^{2}\:+\:(\:3\:-\:0\:)^{2}\:} }[/tex]
[tex]\qquad\tt{:\implies\:Distance\:=\:\sqrt{(4^{2}\:+\:3^{2})} }[/tex]
[tex]\qquad\tt{:\implies\:Distance\:=\:\sqrt{\:(16\:+\:9)\:} }[/tex]
[tex]\qquad\tt{:\implies\:Distance\:=\:\sqrt{25} }[/tex]
[tex]\qquad\tt{:\implies\:Distance\:=\:5\:units}[/tex]
Thus,
The distance between A(-4,0) and B(0,3) is 5 units.