Question

write the equation of the line in slope - intercept form, $y = mx + b$.

Explanation:

Step1: Find the y-intercept (b)

The line crosses the y-axis at (0, -3). So, \( b = -3 \).

Step2: Calculate the slope (m)

Use two points, e.g., (0, -3) and (3, -1) (from the graph). Slope \( m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 - (-3)}{3 - 0} = \frac{2}{3} \).

Step3: Write the equation

Using \( y = mx + b \), substitute \( m = \frac{2}{3} \) and \( b = -3 \). So, \( y = \frac{2}{3}x - 3 \).

Answer:

\( y = \frac{2}{3}x - 3 \)