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Question 2

Luis examined this system of linear equations and determined that the system
have the same slope.
y = -²/z + 1
6x + 4y = 4
Is Luis correct? Use complete sentences to explain your reasoning.
BIUX² X₂ 15px
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A
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User Darksaga
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1 Answer

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Final answer:

Luis's claim that the equations have the same slope cannot be evaluated without correcting a typo in the first equation. Assuming the first equation is y = -2x + 1, the slopes are -2 and -1.5, respectively, so they are not the same and Luis would be incorrect.

Step-by-step explanation:

To evaluate Luis's claim that the two equations have the same slope, we must first write both equations in slope-intercept form (y = mx + b), where m represents the slope. The first equation given is y = -2/x + 1. However, this equation seems to have a typo as the / symbol does not make sense in this context and thus prevents us from determining the slope. Assuming the equation meant y = -2x + 1, the slope would be -2.

The second equation, 6x + 4y = 4, can be rearranged to solve for y by subtracting 6x from both sides and then dividing by 4 to yield y = -1.5x + 1. Therefore, the slope of this equation is -1.5.

If Luis meant the first equation to be y = -2x + 1, then he is incorrect as the slopes are different (-2 and -1.5). But without clarification on the typo, we cannot definitively conclude whether Luis is correct or not.

User CARLOS LOTH
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