Question

what is the y intercept of the line y=6x-9, answer as an ordered pair

Answer 1

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:

$y=6(0)-9\Rightarrow y=-9$

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:

$0=6x-9\Rightarrow x=\frac{3}{2}$

And the x-intercept would be the ordered pair (3/2, 0).