Given:
[tex]f(x)\text{ = -}\frac{1}{2}x\text{ - 5}[/tex]
Required: To plot the line graph of the equation.
To plot a linear graph, we need to obtain two points. These points can be the x-intercept and y-intercept.
The x-intercept is the point where the line cuts the x-axis. We find this by substituting 0 for y into the equation.
[tex]\begin{gathered} 0\text{ = -}\frac{1}{2}x\text{ - 5} \\ -\text{ }\frac{1}{2}x\text{ = 5} \\ x\text{ = -10} \end{gathered}[/tex]
The x-intercept is (-10, 0).
Similarly, the y-intercept. The y-intercept is the point where the line cuts the y-axis. We find this by substituting 0 for x into the equation.
[tex]\begin{gathered} y\text{ = -}\frac{1}{2}\times0-5 \\ =\text{ 0-5} \\ =\text{ -5} \end{gathered}[/tex]
The y-intercept is (0, -5)
Using these points, we can now plot the function f(x).
The graph is shown below:
