Question

find the y-intercept of the line represented by the equation below.
15 = 2x - 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.
Substitute \( x = 0 \) into \( 15=2x - 5y \), we get \( 15 = 2(0)-5y \).

Step2: Simplify the equation

Simplify the right - hand side of the equation \( 15 = 0-5y \), which is \( 15=-5y \).

Step3: Solve for y

To solve for \( y \), we divide both sides of the equation \( 15=-5y \) by \( - 5 \).
\( y=\frac{15}{-5}=-3 \).

Answer:

The y - intercept is \(-3\).