I have opened the image. It shows a graph of two lines along with a table that seems to be asking for the equations of the lines in slope-intercept form $y = mx + b$. Let me guide you through how to solve this problem based on what I can interpret from the image:

Step 1: Understanding the Graph

Two lines are intersecting on the graph:

• One line appears to have a negative slope (falling left to right), and the other has a positive slope (rising left to right).
• Labels such as "y = 9x + 12" and other clues (like intercepts and slopes) should be extracted to understand each line's equation.

Step 2: Analyzing Slope and Intercept

For each line, you'll need:

• Slope $m$: The ratio of the vertical change to the horizontal change between two points on the line.
• Intercept $b$: The point where the line crosses the y-axis.

Step 3: Writing the Equation

Once the slope and intercept are determined, the equation takes the form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

I'll analyze the image more closely now to get the exact data and solve it.To interpret the image in detail and solve for the equations of the lines, let's go through the following process:

Line 1:

• From the graph, it seems this line crosses the y-axis at a particular point. The slope can be determined by identifying two points on the line and using the formula for slope: $m = \frac{{y_2 - y_1}}{{x_2 - x_1}}$

Line 2:

• Similarly, for the second line, identify where it crosses the y-axis and the slope between two points.

General Equation Form:

Each line follows the form: $y = mx + b$ Where:

• $m$ is the slope,
• $b$ is the y-intercept.

Could you confirm the numerical data (like the intercept values) from the graph, or shall I focus on further analyzing from what I can deduce? Feel free to ask for more details on any part of this method.

Let me know if you need clarifications on finding slopes and intercepts from graphs or tables.