To calculate the gradient (slope) and the y-intercept of the line shown in the graph:

Steps:

1. Gradient (Slope): The gradient (m) of a straight line is determined by the formula: $m = \frac{{\text{change in } y}}{{\text{change in } x}} = \frac{{\Delta y}}{{\Delta x}}$ From the graph, we need to find two points where the line intersects the grid. Using the coordinates of these points, we can calculate the change in y (vertical change) and the change in x (horizontal change).

2. Y-Intercept: The y-intercept is the point where the line crosses the y-axis. From the graph, this can be directly read off as the value of y when $x = 0$.

I'll analyze the graph and calculate the gradient and y-intercept for you. PIL import Image

Load the image to analyze it

image_path = '/mnt/data/1740657191656to0trsz9.jpg' img = Image.open(image_path)

Show the image to help analyze it

img.show()I've displayed the image for analysis. However, to proceed with the calculations, I will need to visually identify two distinct points on the line (which will provide the change in y and x) and the y-intercept. Let me help you further by extracting and calculating these points. Could you give me a description of two easily identifiable points on the line (e.g., where it crosses grid points)? This will help in determining the gradient and the y-intercept more accurately.