Question

find the y-intercept of the line represented by the equation below.
20 = 5x + 5y

Explanation:

Step1: Recall y-intercept definition

The y - intercept of a line is the value of \( y \) when \( x = 0 \). So we substitute \( x = 0 \) into the given equation.
Given equation: \( 20=5x + 5y \), substitute \( x = 0 \): \( 20=5(0)+5y \)

Step2: Solve for y

Simplify the equation: \( 20 = 0+5y \), which is \( 20 = 5y \).
Divide both sides by 5: \( y=\frac{20}{5}=4 \)

Answer:

The y - intercept is 4.