Answer:
y = 1.8x, where time is the independent variable, x, and distance is the dependent variable.
Step-by-step explanation:
The independent variable is along the x-axis.
The dependent variable is along the y-axis.
Therefore,
- Independent variable = time (in minutes)
- Dependent variable = distance (in km)
Equation of the line
To find the equation of the line, define two points on the line:
- Let (x₁, y₁) = (0, 0)
- Let (x, y₂) = (5, 9)
Use the slope formula to find the slope (m) of the line:
[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{9-0}{5-0}=1.8[/tex]
From inspection of the graph, the y-intercept is at (0, 0).
Point-slope form of a linear equation: [tex]y = mx + b[/tex]
Substitute the found slope and y-intercept into the formula to create the equation of the line:
[tex]\implies y=1.8x+0[/tex]
[tex]\implies y=1.8x[/tex]
Conclusion
y = 1.8x, where time is the independent variable, x, and distance is the dependent variable.
