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  4. The points (0, (8/3)), (1, 3), and (82, 30) are vertices of a/an

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Q. The points $\left(0, \frac{8}{3}\right)$, $\left(1, 3\right)$, and $\left(82, 30\right)$ are vertices of $a/an$

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Solution:

Let points be $A\left(0, \frac{8}{3}\right)$, $B\left(1, 3\right)$, and $C\left(82, 30\right)$
Since slope of line $AB=\frac{1}{3}$, slope of $BC=\frac{1}{3}$
As slope of $AB =$ Slope of $BC$
$\therefore $ Points $A$, $B$ and $C$ are collinear.