Question

write an equation:

Explanation:

Step1: Identify slope and intercept

The line crosses the y - axis at (0, 4), so the y - intercept \( b = 4 \). To find the slope \( m \), use two points, e.g., (0, 4) and (- 2, 0). The slope formula is \( m=\frac{y_2 - y_1}{x_2 - x_1} \). Substituting, \( m=\frac{4 - 0}{0-(-2)}=\frac{4}{2} = 2 \).

Step2: Write the equation

Using the slope - intercept form \( y=mx + b \), substitute \( m = 2 \) and \( b = 4 \). So the equation is \( y = 2x+4 \).

Answer:

\( y = 2x + 4 \)