Line A passes through the point (-4-2) and has a slope of 2.
Line B passes through the points (-6,4) and (10-4).
Which of the following statements is true?
A
Line A never intersects line B.
B. Line A intersects line B at the point (-2,2)
C. Line A intersects line B at the point (2-2).
D. More information is needed to determine whether or not line A intersects line B.

B. Line A intersects line B at the point (-2,2)

Step-by-step explanation:

y = mx + b

m₁ = 2

-2 = 2 x (-4) + b₁

b₁ = 6

y₁ = 2x₁ + 6 : line₁

point (-2 , 2) :  2 x (-2) + 6 = 2

(-2 , 2) is on line₁

m₂ = (-4 -4 ) / (10 - (-6)) = -8 / 16 = - 1/2

line₂ : (-6 , 4) (10 , -4)

4 = - 1/2 x (-6) + b₂

b₂ = 1

y₂ = -1/2 x + 1 : line₂

point (-2 , 2)  -1/2 x (-2) + 1 = 2

prove (-2 , 2) is on line₂ too.