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
+
.

Remaining Attempts : 3

Answer 1

To determine the equations of the two lines shown in the graph, we need to identify the points where the lines intersect the axes, as well as their slopes.

1. Solid Line (y=__):

   • From the graph, we can observe the y-intercept and slope. If the solid line passes through the origin and has a slope of 1, its equation would typically be \( y = x \).

2. Dotted Line (y=__ x + __):

   • For the dotted line, you need to find its y-intercept and slope. If it intersects the y-axis at \( b \) and has some slope \( m \), then its equation would be \( y = mx + b \).

Without the actual graph to refer to, I can't give you the specific values for \( b \) or any specific slopes. However, if you provide details from the graph (like coordinates of points where the lines intersect), I'd be able to determine the exact system of equations for you.

Please check the axes and points where the lines intersect to fill in the blanks with the appropriate numbers.