find the equation of the line. use exact numbers. for a negative y - intercept, type a negative sign. y =…

Explanation:

Step1: Identify the y-intercept

The line crosses the y-axis at (0, -6), so the y-intercept ( b = -6 ).

Step2: Calculate the slope

Choose two points on the line, e.g., (0, -6) and (6, -7). The slope ( m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-7 - (-6)}{6 - 0} = \frac{-1}{6} = -\frac{1}{6} ).

Step3: Write the equation

Using the slope-intercept form ( y = mx + b ), substitute ( m = -\frac{1}{6} ) and ( b = -6 ).

Answer:

( y = -\frac{1}{6}x - 6 )