Final answer:
The slope of the line is 3, and the equation, using the slope-intercept form, is y = 3x + 9. The y-intercept of this line is the point (0, 9) since it crosses the y-axis at 9.
Step-by-step explanation:
To find the slope and write the equation of a line with a given y-intercept, we use the slope-intercept form of a linear equation, which can be written as y = mx + b or as y = a + bx, where 'm' or 'b' is the slope, and 'a' or 'b' is the y-intercept depending on the form used. The y-intercept is the point where the line crosses the y-axis, and it is represented as the coordinate (0, a).
Using the information given in the references, we have a line with a y-intercept (the point where the line intersects the y-axis) of 9 and a slope (rise over run) of 3. This means the equation of this line can be written as y = 3x + 9.
So:
a) The slope is 3, and the equation is y = 3x + 9.b) The equation is y = 3x + 9.c) The slope is 3.d) None of the above does not apply since we provided the information requested.