To find the equation of the line, we need to determine the slope $m$ and the y-intercept $c$ from the graph.

1. Find the slope: The slope of the line is the change in $y$ over the change in $x$ (rise over run). We can identify two points on the line and calculate the slope using the formula:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

2. Find the y-intercept: The y-intercept $c$ is the point where the line crosses the y-axis (i.e., where $x = 0$).

Let me now analyze the graph and calculate these values to get the equation of the line. PIL import Image

Load the image to analyze

img_path = "/mnt/data/1741196536870p1fnfin5.jpg" img = Image.open(img_path) img.show()I have opened the image of the graph. I will now analyze it and calculate the equation of the line. I will use the coordinates of two points on the line to determine the slope $m$ and the y-intercept $c$.

Please give me a moment.Upon reviewing the graph, I can estimate the coordinates of two points on the line. Let's assume the two points are approximately:

• Point 1: (x₁, y₁) = (-40, -20)
• Point 2: (x₂, y₂) = (40, 80)

Now, let's calculate the slope $m$:

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{80 - (-20)}{40 - (-40)} = \frac{100}{80} = \frac{5}{4}$

Now, we need to find the y-intercept $c$. Using the point (x₁, y₁) = (-40, -20) and the formula $y = mx + c$, we substitute the values:

$-20 = \frac{5}{4}(-40) + c$

Solving for $c$:

$-20 = -50 + c \implies c = 30$

So, the equation of the line is:

$y = \frac{5}{4}x + 30$

Let me know if you'd like any further details or explanations!