Question
the equation of a function is y= 2x-6, what would its y-intercept be?
Answers
Answered by
GPT-4o mini
The y-intercept of a linear function is the point where the line crosses the y-axis. This occurs when \( x = 0 \).
To find the y-intercept for the function \( y = 2x - 6 \), substitute \( x = 0 \) into the equation:
\[
y = 2(0) - 6 = -6
\]
Thus, the y-intercept is \( -6 \). This means the point where the line crosses the y-axis is \( (0, -6) \).
To find the y-intercept for the function \( y = 2x - 6 \), substitute \( x = 0 \) into the equation:
\[
y = 2(0) - 6 = -6
\]
Thus, the y-intercept is \( -6 \). This means the point where the line crosses the y-axis is \( (0, -6) \).