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Which of the following systems of linear equations represents parallel lines?
A. y = 5x -7
y = -5x + 7
C. y = 6x + 4
y = 5x + 4
B. y = -4x + 1
y = -4x - 6
D. y = -3x - 5
y = 3x - 5

Sagot :

KanataHoshijima31idn

Answer:

B. y = -4x + 1 and y = -4x - 6

[It's the 3rd Option, but it's still Option B]

Step-by-step explanation:

There are two requirements for the line-intercept form of parallel lines.

Requirement 1:

There must be different y-intercepts. This is because the lines must have physically different locations. This rules out Option C and Option D.

Requirement 2:

There must be the same slope. Among the choices, only Option B follows this rule.

Thus, the correct answer is Option B.

The lines are: y = -4x + 1 and y = -4x - 6.

Hope this helps!

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