Given:
Given that the points of the line are (0,3) and (3,2)
We need to determine the slope of the line that is parallel to the line containing the points (0,3) and (3,2)
Slope of the line:
The slope of the line can be determined using the formula,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substituting the coordinates (0,3) and (3,2) in the above formula, we get;
[tex]m=\frac{2-3}{3-0}[/tex]
[tex]m=\frac{-1}{3}[/tex]
Thus, the slope of the given line is [tex]m=-\frac{1}{3}[/tex]
Slope of the parallel line:
We know the property that the slope of the parallel lines are always same.
Thus, the slope of the parallel line is [tex]m=-\frac{1}{3}[/tex]
Hence, option d is the correct answer.
