Questions: Write the equation in slope-intercept form of the line graphed. The equation of the line is . (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the expression.)

Solution Steps

From the graph, we can identify two points on the line. Let's use the points (2, 2) and (0, 6).

The slope \( m \) is calculated using the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Using the points (2, 2) and (0, 6): \[ m = \frac{6 - 2}{0 - 2} = \frac{4}{-2} = -2 \]

The slope-intercept form of a line is: \[ y = mx + b \] We already have \( m = -2 \). To find \( b \), we use one of the points, say (0, 6): \[ 6 = -2(0) + b \] \[ b = 6 \]

Final Answer