Plotting selected data possibly with indexing

I have a code using which i solve equations and get the required for plotting. The data is from a physical problem and for that reason, i only need to plot it when a certain variable is less than zero (for the first time). Afterwards the equations dont hold and the whole issue becomes meaningless.
For simplicity i am just listing an example. Kindly let me know how can i have a plot like this with the data below. Note that i only want to plot data while y approaches 0 for the 1st time. (so not all values which are postive).
x = [ 1 2 3 4 5 6 7 8 9 10 11 12];
y = [ 1 4 7 8 6 3 2 -2 -5 7 9 12];

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So according to what i understand you want to plot y only when it first reaches 0 so in the above
y = [ 1 4 7 8 6 3 2] % is the part where you want to plot

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