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For any relationship between x and y, the value of y at x=0 (the y intercept) could be anything depending on what the relationship is. What was your weight when you were born? There are infinitely more relationships that are nonzero when x=0, than are zero.
The best method to choose might not be the same for different types of graph. But in general, it's probably going to depend somewhat on what you want to "do" to them.
First you might want to divide both sides by 7 so you have -x+y=-7 Now you can write this as y=x-7 So the graph is a line with slope 1 and y intercept -7. To graph it, place a point ( a dot) at (0,-7) Now to find the next point go up one unit and over to the right one unit. Connect the dots and you have the desired line.
It stands for the y-intercept. where it crosses the y axis ... this might help http://id.mind.net/~zona/mmts/functionInstitute/linearFunctions/lsif.html
a bar graph would be best I might say