A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The length of the line segment GH is √80 units.
What is the length of any line on the graph?
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The distance or length of any line on the graph,
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
where,
d = distance/length of the line between point 1 and 2,
(x₁ , y₁) = coordinate of point 1,
(x₂ , y₂) = coordinate of point 2,
The coordinate of G and H are (0,-3) and (8,1). Therefore, the length of the line segment GH can be written as,
[tex]GH = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\GH = \sqrt{(0-8)^2+(-3-1)^2}\\\\GH = \sqrt{64+16}\\\\GH = \sqrt{80}[/tex]
Hence, the length of the line segment GH is √80 units.
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