Question

module 11 (linear equations) assignment
score: 3/20 answered: 3/20
question 4
write an equation for the graph in slope - intercept form, i.e., $y = mx + b$.
submit question

Explanation:

Step1: Identify the y-intercept (b)

The line crosses the y-axis at (0, 4), so \( b = 4 \).

Step2: Calculate the slope (m)

Choose two points, e.g., (0, 4) and (2, 8). Slope \( m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{8 - 4}{2 - 0}=\frac{4}{2}=2 \).

Step3: Write the equation

Using \( y = mx + b \), substitute \( m = 2 \) and \( b = 4 \), so \( y = 2x + 4 \).

Answer:

\( y = 2x + 4 \)