The slope-intercept form of a line is:
[tex]y = mx + q[/tex]
Where m is the slope and y is the y-intercept:
[tex]y = 3x + q[/tex]
To find q (y-intercept), substitute the coordinates of the point (9, -4) in the equation of the line and solve it as an equation:
-4=3(9)+q
-4=27+q
q=-27-4=-31
The equation of the line is: y=3x-31
