select the correct answer.which equation represents the horizontal line passing through (9,-7)?x = 9y = 9x = -7y = -7

In order to answer this question, first, remember that the equation of a line is:
[tex]y=mx+b[/tex]With m being the slope, and b being the y-intercept. Since in this case, the slope is 0 because it is a horizontal line, we have that:
[tex]y=b[/tex]And we are given that it passes through a point in which the y-coordinate is -7, therefore:
[tex]y=\text{ -}7[/tex]Therefore, the correct answer is y = -7, the fourth option.