What is the y-intercept for the equation ## 7x + 2y = – 12##?

The y intercept is ##(0, -6)##

The y-intercept of a line is the value of y at the point where the line crosses the y axis. At this point ##x=0##

Substitute into the equation ##x=0## so you get:

##7(0) +2y = -12##

##0 + 2y = -12##

##2y = -12##

##y = -6##

The y intercept is ##(0, -6)##