Question

find the equation of the line. use exact numbers. for a negative y - intercept, type a negative sign. y = \square x + \square

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:

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