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