There are infinitely many solutions.
Algebraically, we can eliminate
and try to solve for
:

Then



which is the equation of an ellipse.
Answer:
They are skew and will never intersect.
Step-by-step explanation:
see attachment for the missing figure
Lines a and b are skew lines since they are not parallel and they do not intersect. The explanation that they don't intersect is on the grounds that each line is in a parallel plane. Parallel means heading off to the same direction but neither converging nor diverging.
11. m=5 p=15
12. g=3 k=3
13. b=40
f(x) = 5x²
f(10) = 5(10)² = 5(100) = 500
f'(x) = 10x
f'(10) = 10(10) = 100
Now, find the line that passes through (10, 500) and has a slope of 100
y - y₁ = m(x - x₁)
y - 500 = 100(x - 10)
y - 500 = 100x - 1000
y = 100x - 500