Find the slope and the \( y \)-intercept of the line. \[ -6 x-y=-7 \] Write your answers in simplest form.

To find the slope and the \( y \)-intercept of the given line equation, we first rearrange the equation into slope-intercept form, which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the \( y \)-intercept. Starting with the original equation: \[ -6x - y = -7 \] We can isolate \( y \) by adding \( 6x \) to both sides: \[ -y = 6x - 7 \] Now, we multiply by -1 to solve for \( y \): \[ y = -6x + 7 \] From this equation, we can see that the slope \( m \) is \(-6\) and the \( y \)-intercept \( b \) is \( 7 \). In simplest form: Slope: \(-6\) \( y \)-intercept: \( 7 \).