Given the equation y = 3/4x - 2 what is the y-intercept? Write your answer as an ordered pair.

The y-intercept is (__).

1 answer

To find the y-intercept of the equation \( y = \frac{3}{4}x - 2 \), we set \( x = 0 \) and solve for \( y \).

Plugging \( x = 0 \) into the equation:

\[ y = \frac{3}{4}(0) - 2 \] \[ y = 0 - 2 \] \[ y = -2 \]

The y-intercept occurs at the point where \( x = 0 \) and \( y = -2 \). Therefore, the y-intercept as an ordered pair is:

\[ \text{The y-intercept is } (0, -2). \]