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 (-2, 0). Slope \( m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0 - 3}{-2 - 0}=\frac{-3}{-2}=\frac{3}{2} \).

Step3: Write the equation

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

Answer:

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