Questions: Write an equation of the line below.

Solution Steps

The y-intercept is the point where the line crosses the y-axis. From the graph, the line crosses the y-axis at \( y = 2 \).

Choose another point on the line to determine the slope. From the graph, another point on the line is \( (2, 0) \).

The slope \( m \) is calculated using the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Using the points \( (0, 2) \) and \( (2, 0) \): \[ m = \frac{0 - 2}{2 - 0} = \frac{-2}{2} = -1 \]

Using the slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept: \[ y = -1x + 2 \]

Final Answer