Use the image to answer the question.

Question

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
+
.

Answer 1

Without being able to see the image, I can help you understand how to derive the equations of lines based on their intersections and slopes.

1. Solid Line: If the solid line goes through certain points, you can determine its equation in the form of \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept. To find the slope \(m\), pick two points on the line, say \((x_1, y_1)\) and \((x_2, y_2)\), and use the formula:

   \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

   Then, use one of the points to solve for \(b\).

2. Dotted Line: Similarly, for the dotted line, you can identify two points on that line and determine its slope using the same method as above. Once you find the slope, deteremine the y-intercept \(b\) using the point-slope form or the slope-intercept form.

If you provide details such as specific points where the lines intersect the axes or their specific slopes, I would be able to help you formulate the equations more precisely.