To find the \( y \)-intercept of the line given by the equation \( y = 2.3x - 4.3 \), we need to determine the value of \( y \) when \( x \) is 0.
The \( y \)-intercept is the point where the line crosses the \( y \)-axis, which occurs when the \( x \)-coordinate is 0. By substituting \( x = 0 \) into the equation, we can find the corresponding \( y \)-coordinate.
Here's the step-by-step process:
1. Start with the given equation of the line:
[tex]\[
y = 2.3x - 4.3
\][/tex]
2. Substitute \( x = 0 \) into the equation:
[tex]\[
y = 2.3(0) - 4.3
\][/tex]
3. Simplify the expression:
[tex]\[
y = 0 - 4.3
\][/tex]
[tex]\[
y = -4.3
\][/tex]
Therefore, the \( y \)-intercept of the line is \( -4.3 \).
So, the [tex]\( y \)[/tex]-intercept is [tex]\(\boxed{-4.3}\)[/tex].
