(0, -5)
Step-by-step explanation:
Since we are given the slope and a point on the line, we can use these to write the point-slope form of the equation of the line, which looks this this:
[tex]y - y_1 = m(x - x_1)[/tex]
where [tex](x_1, y_1)[/tex] is the point on the line and m is the slope. So the equation has the form
[tex]y - 4 = 3(x - 3)[/tex]
To find the y-intercept, set x = 0 to get
[tex]y - 4 = 3(0 - 3) \Rightarrow y - 4 = -9[/tex]
Solving for y, we get
[tex]y = -5[/tex]
Therefore, the coordinates of the y-intercept is (0, -5).
