Final answer:
The equation of the line in point-slope form is y - 9 = 3x.
Step-by-step explanation:
The equation of a line in point-slope form is given by:
y - y1 = m(x - x1)
where (x1, y1) are the coordinates of a point on the line and m is the slope.
In this case, the y-intercept is 9, which means that the point (0, 9) lies on the line. The slope of the line is 3. Using these values, we can write the equation as:
y - 9 = 3(x - 0)
Simplifying the equation, we get:
y - 9 = 3x
This is the equation of the line in point-slope form.