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
+
.please give me your best answer

Answer 1

To determine the system of equations shown in the graph, we'll analyze the provided information about the solid line and the dotted line.

1. The solid line appears to have the equation \( y = x \), which indicates it has a slope of 1 and goes through the origin (0, 0).

2. The dotted line has the form \( y = x + b \), where \( b \) is the y-intercept. Since you have not provided the exact intersection point or any specific coordinates from the graph, I can't determine the exact value of \( b \). However, you should be able to find \( b \) by observing where the dotted line crosses the y-axis.

Assuming the dotted line crosses the y-axis at \( b = 2 \) as a common example, the equations would be:

• Solid line: \( y = x \)
• Dotted line: \( y = x + 2 \)

Please use the graph you are referring to confirm the y-intercept value to provide the complete system of equations.