The equation y = -9x + 8 is already in slope-intercept form. So, the number multiplying x, i.e., -9 is the slope of this line.
Also, since we need to find the equation of a line that is parallel to that one, their slopes are the same (parallel lines have the same slope).
We need to use the following formula for the equation of a line passing through the point (a, b) with slope m:
y - b = m(x - a)
In this case, we have:
a = 3
b = -6
m = -9
Thus, the equation of the line is:
y - (-6) = -9(x - 3)
y + 6 = -9x + 27
y = -9x + 27 - 6
y = -9x +21
Therefore, the