To describe the system of equations based on the information provided about the two lines, we can derive the equations as follows:
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Dotted Line (first line): This line is dotted and passes through the origin (0, 0). We can assume that it has a slope of \(m\). The equation for a line that goes through the origin can be written in the form: \[ y = mx \] We need the slope \(m\) to write the exact equation, but we can keep it in this general form for now since it is not specified.
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Solid Line (second line): This line is solid, parallel to the first line, and passes through the point (0, 3). Since it is parallel to the first line, it will have the same slope \(m\). The equation for this line, which has a y-intercept of 3, can be written as: \[ y = mx + 3 \]
Thus, the system of equations that represents the two lines in the graph is:
\[ \begin{align*} y &= mx \quad \text{(dotted line)}\ y &= mx + 3 \quad \text{(solid line)} \end{align*} \]
If a specific slope \(m\) were provided, you could replace \(m\) with that value in both equations. However, without that information, the general form should suffice.