The y-intercept of the line y = 6x -9 is the ordered pair: (0, -9).
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To determine the y-intercept of a function, we solve for x = 0, in our case, it would be:
![y=6(0)-9\Rightarrow y=-9](https://img.qammunity.org/2023/formulas/mathematics/college/p0ge22nobqrvk7h4a87kontt091kalvyvf.png)
And since we already have the value of x, the ordered pair is (0, -9).
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If we were to find the x-intercept, we would operate for y = 0, in our case, it would be:
![0=6x-9\Rightarrow x=(3)/(2)](https://img.qammunity.org/2023/formulas/mathematics/college/zp6cklnbav2rxhe4k347mxqjm5umwi915s.png)
And the x-intercept would be the ordered pair (3/2, 0).