Based on the calculations, the slope of line YZ in simplest form is equal to 2.
How to determine the slope of YZ?
Mathematically, the slope of a straight line can be calculated by using this formula;
[tex]Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
Since points X, Y, and Z are collinear, we can deduce that the line passes through line Z at 6 units form the origin and 3 units for Y from the origin.
Substituting the parameters into the formula, we have;
[tex]Slope, m = \frac{6\;-\;0}{3\;-\;0}[/tex]
Slope, m = 6/3
Slope, m = 2.
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