Answer:
slope = [tex]\displaystyle \bf-\frac{1}{3}[/tex]
Step-by-step explanation:
We can calculate the slope of the line when by using this formula:
[tex]\boxed{m=\frac{y_2-y_1}{x_2-x_1} }[/tex]
where:
- [tex]m[/tex] = slope / gradient
- [tex](x_1,y_1)[/tex] = coordinate of the first point
- [tex](x_2,y_2)[/tex] = coordinate of the second point
Since the line passes through points (0, 4) and (6, 2), then
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\displaystyle =\frac{2-4}{6-0}[/tex]
[tex]\displaystyle =\frac{-2}{6}[/tex]
[tex]\displaystyle =-\frac{1}{3}[/tex]
Notes:
Either point can be the 1st or the 2nd point. It does not affect the answer.
