Questions: Find the equation of the line in the form y=mx+b.

Solution Steps

From the graph, we can identify two points on the line. Let's choose the points \((0, 8)\) and \((4, 0)\).

The slope \(m\) is calculated using the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Using the points \((0, 8)\) and \((4, 0)\): \[ m = \frac{0 - 8}{4 - 0} = \frac{-8}{4} = -2 \]

The y-intercept \(b\) is the y-coordinate of the point where the line crosses the y-axis. From the graph, we see that the line crosses the y-axis at \(y = 8\). Therefore, \(b = 8\).

Final Answer