Answer:
d=√((x_2-x_1)²+(y_2-y_1)²)
d=√((2-(-4))²+(1-(-3))²)
d=√(6²+4²)
d=√36+16
d=√52
d=7.21110255...
d=7.2
Step-by-step explanation:
d=7.2
The distance between the points on the coordinate plane is 7.2 units.
Coordinate geometry is the study of geometry using the coordinate points. It provides a link between geometry and algebra through line graphs and curves.
For the given situation,
The points are (x1, y1) be (–4, –3) and (x2, y2) be (2, 1)
The formula for the distance between points,
[tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]
On substituting the above points,
⇒ [tex]d=\sqrt{(2-(-4))^{2}+(1-(-3))^{2} }[/tex]
⇒ [tex]d=\sqrt{6^{2}+4^{2} }[/tex]
⇒ [tex]d=\sqrt{52}[/tex]
⇒ [tex]d=7.211[/tex] ≈ [tex]7.2[/tex]
Hence we can conclude that the distance between the points on the coordinate plane is 7.2 units.
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