Long description: block7-fig6

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• The image displays a Cartesian coordinate system with the horizontal axis labeled \(x\) and the vertical axis labeled \(y\).
• A straight line is drawn on the graph, passing through several visible points.
• Two specific points are marked on the line: one at the coordinates \((0, 3)\) and another at the coordinates \((4, 7)\).
• Dashed vertical and horizontal lines are drawn to help visualize the coordinates, connecting the points on the line to the axes.
• The context suggests these points are used to calculate the gradient using the formula \(\text{gradient} = \frac{y_2 - y_1}{x_2 - x_1}\).
• The calculation shown is \(\frac{7 - 3}{4 - 0} = \frac{4}{4} = \frac{1}{2}\) (Note: The typed calculation in the image is \(\frac{5 - 3}{4 - 0} = \frac{2}{4} = \frac{1}{2}\), which implies the points used for the explicit calculation might be \((0, 3)\) and \((4, 5)\) or \((0, 3)\) and \((4, 7)\) if the result was \(\frac{4}{4} = 1\), but the visible labels suggest \((0, 3)\) and \((4, 7)\) are the intended reference points for the visualized slope).