Question

find the y-intercept of the line represented by the equation below.
-4 = 4y - 5x

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.
The equation is \( - 4=4y - 5x \). Substitute \( x = 0 \):
\( - 4=4y-5\times0 \)

Step2: Solve for y

Simplify the equation: \( - 4 = 4y\).
To solve for \( y \), divide both sides of the equation by 4:
\( y=\frac{-4}{4}=- 1 \)

Answer:

The y - intercept is \(-1\).