Answer:
[tex]-\dfrac{1}{2}[/tex]
Step-by-step explanation:
Slope Formula
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Where (x₁, y₁) and (x₂, y₂) are points on the line.
Given points:
- (x₁, y₁) = (8, 3)
- (x₂, y₂) = (12, 1)
Substitute the given points into the formula and solve for m:
[tex]\implies \textsf{slope}\:(m)=\dfrac{1-3}{12-8}=\dfrac{-2}{4}=-\dfrac{1}{2}[/tex]
Therefore, the slope of the line for the path of the track is -¹/₂.
