brebre9195
contestada

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.

Respuesta :

Answer:

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

Step-by-step explanation:

y = mx + b

mā‚ = 2

-2 = 2 x (-4) + bā‚

bā‚ = 6

yā‚ = 2xā‚ + 6 : lineā‚

point (-2 , 2) : Ā 2 x (-2) + 6 = 2

(-2 , 2) is on lineā‚

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

lineā‚‚ : (-6 , 4) (10 , -4)

4 = - 1/2 x (-6) + bā‚‚

bā‚‚ = 1

yā‚‚ = -1/2 x + 1 : lineā‚‚

point (-2 , 2) Ā -1/2 x (-2) + 1 = 2

prove (-2 , 2) is on lineā‚‚ too.