Question

question
find the y-intercept of the line represented by the equation below.
$x + 3y = 0$

Explanation:

Step1: Recall y-intercept definition

The y-intercept of a line is the point where the line crosses the y-axis, which occurs when \( x = 0 \). So we substitute \( x = 0 \) into the equation of the line.

Step2: Substitute \( x = 0 \) into the equation

Given the equation \( x + 3y = 0 \), substitute \( x = 0 \):
\[
0 + 3y = 0
\]

Step3: Solve for \( y \)

Simplify the equation \( 3y = 0 \). Divide both sides by 3:
\[
y=\frac{0}{3}=0
\]

Answer:

The y - intercept is \( 0 \) (or the point \( (0,0) \)).