Final answer:
The equation that represents the line passing through (-8,11) is y = 9 + 3x.
Step-by-step explanation:
The equation that represents the line passing through (-8,11) is y = 9 + 3x.
To find the equation of a line passing through a given point, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1).
In this case, the given point is (-8,11), so we substitute -8 for x1 and 11 for y1:
y - 11 = 3(x - (-8))
Simplifying the equation gives y = 9 + 3x.