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3 years ago

(3.07A MC)

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

7 0

Answer:

(3, 4) is the solution to both lines A and B.

Step-by-step explanation:

Given

Line A with points (2, 6) and (5, 0)
Line B with points (0, 2) and (6, 6)

Lets get the equations for both lines

Line A

y = mx + b
m = (0 - 6)/( 5 - 2) = -2
6 = 2*(-2) + b ⇒ b = 6+ 4 = 10
y = - 2x + 10

Line B

m = (6 - 2)/( 6 - 0) = 4/6 = 2/3
b = 2 as per point (0, 2)
y = 2/3x + 2

We got two equations:

y = -2x + 10
y = 2/3x + 2

Solving the system:

-2x + 10 = 2/3x + 2
8/3x = 8
x = 3 ⇒ y = 4
(3, 4)

Verifying answer options

(3, 4) is the solution to both lines A and B. YES
(3, 4) is the solution to line A but not to line B. NO
(0, 2) is the solution to both lines A and B. NO
(0, 2) is the solution to line A but not to line B. NO

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