What is the system of equations shown in the graph?

Question

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

The equation of the dotted line is y=
𝑦
=
x
𝑥
+ .

Answer 1

To help you formulate the system of equations from the description of the graph, let’s clarify the given lines:

1. You mentioned the solid line with the equation \( y = x \). This is a simple linear equation representing a straight line that passes through the origin (0, 0) with a slope of 1.

2. The dotted line is described with the equation \( y = x + \) (it seems like there is a missing value after the "+"). If you specify the value, we can finalize its equation.

Assuming the dotted line has the same slope (slope = 1), the complete equation could be something like \( y = x + b \), where \( b \) is a constant representing the y-intercept.

For example:

• If the dotted line is \( y = x + 1 \), it would be parallel to the solid line but shifted up by 1 unit.
• If the dotted line is \( y = x - 2 \), it would be shifted down by 2 units.

Without that specific value, we can write the system of equations as:

1. \( y = x \) (for the solid line)
2. \( y = x + b \) (for the dotted line, where \( b \) is yet to be defined)

Please provide the missing information so I can refine the dotted line's equation!