Questions: Write an equation of the line below.

Solution Steps

From the graph, identify two points that the line passes through. Let's choose the points \((0, -1)\) and \((2, 1)\).

Use the slope formula \(m = \frac{y_2 - y_1}{x_2 - x_1}\): \[ m = \frac{1 - (-1)}{2 - 0} = \frac{2}{2} = 1 \]

Use the point-slope form of the equation \(y - y_1 = m(x - x_1)\) with one of the points, say \((0, -1)\): \[ y - (-1) = 1(x - 0) \] \[ y + 1 = x \]

Final Answer