This is the point on the y-axis where the graph crosses.
The easiest way to find this point is to plug in 0 into the x value and solve for y.
Example:
2x+3y=6
Plug in 0 for x (all points on y-axis are of the form 0,y).
0+3y=6
therefore y=2
so, (0,2) is the point on the y axis and so you say that 2 is the y-intercept. You can also say (0,2) is the y-intercept. I never take off points if they say either. They are both the same in my opinion (math instructor).
The y-intercept of a line is the value of y at the point where the line crosses the y axis
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