The value that can take the place of "?" is -6a. The length of line AB is 6a units.
What is the length of any line on the graph?
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 length of a line with two points known is written as,
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Given the coordinate of points A and B are (-3a,b) and (-3a,b), respectively. Therefore, the length of the line AB can be written as,
[tex]AB = \sqrt{(-3a-3a)^2+(b-b)^2}\\\\AB = \sqrt{(-6a)^2+(0)^2}\\\\AB = 6a[/tex]
Hence, the length of line AB is 6a units.
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