Question

Hi, I don't really understand what I do with the x-intercept I know how to find the Y-intercept though.

Answer 1

Given:

`f(x)\text{ = -}(1)/(2)x\text{ - 5}`

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.

`\begin{gathered} 0\text{ = -}(1)/(2)x\text{ - 5} \\ -\text{ }(1)/(2)x\text{ = 5} \\ x\text{ = -10} \end{gathered}`

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.

`\begin{gathered} y\text{ = -}(1)/(2)*0-5 \\ =\text{ 0-5} \\ =\text{ -5} \end{gathered}`

The y-intercept is (0, -5)

Using these points, we can now plot the function f(x).

The graph is shown below: