Two lines intersect on the coordinate plane. Both axes range from negative 10 to 10 in increments of 1.

What is the system of equations shown in the graph?

(2 points)
The equation of the solid line is y=

x
.
The equation of the dotted line is y=

x
+
.

1 answer

To determine the equations of the solid line and the dotted line, we need to analyze the descriptions typically associated with the types of lines mentioned and their general forms.

  1. Solid Line: The solid line is represented as \( y = x \). This is a straight line that passes through the origin (0,0) with a slope of 1.

  2. Dotted Line: The equation of the dotted line is in the form \( y = x + b \), where \( b \) is the y-intercept of the dotted line.

To fully define this line, we need to know the value of \( b \). This can usually be observed from the graph by checking where the dotted line intersects the y-axis.

If you are looking for specific values for \( b \) and the coordinates of intersection or any particular points from the graph, please list any known intersections or values, and I can help derive the exact equations.

But if we assume typical scenarios, it would commonly be like:

  • If the dotted line is parallel to the solid line (slopes are the same), another typical intercept might be \( b = 1 \), making it \( y = x + 1 \).

So the equations could look like:

  • Solid line: \( y = x \)
  • Dotted line: \( y = x + 1 \) (or another value depending on observations)

Please provide additional details if you have them!

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