Final answer:
The equation of the line that passes through the point (-3, -8) is y = -8.
Step-by-step explanation:
The equation of the line that passes through the point (-3, -8) can be found using the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) are the coordinates of the given point and m is the slope of the line. In this case, we can substitute the values (-3, -8) into the equation and solve for m.
y - (-8) = m(x - (-3))
y + 8 = m(x + 3)
To find the slope, we can use another point on the line, or we can use the fact that the line is passing through (-3, -8) and substitute it into the equation. We choose (0, b):
-8 + 8 = m(0 + 3)
0 = 3m
m = 0
Substituting the value of m back into the equation, we have:
y + 8 = 0(x + 3)
y + 8 = 0
y = -8
The equation of the line that passes through the point (-3, -8) is y = -8. The correct answer is none of the provided options.