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Svetach
1 month ago
14

Which statement is true about the graphs of the two lines y = x + 2 and y = x ? The lines are perpendicular to each other becaus

e and are opposite reciprocals of each other. The lines are perpendicular to each other because 2 and are opposite reciprocals of each other. The lines are neither parallel nor perpendicular to each other because and are not opposite reciprocals of each other. The lines are neither parallel nor perpendicular to each other because 2 and are not opposite reciprocals of each other.
Mathematics
2 answers:
PIT_PIT [12.4K]1 month ago
8 0

Result: The conclusion is "the lines are parallel because both have the same slope, which is 1"

Explanation: The given equations are

y=x+2,\\\\y=2.

We need to determine the relationship between these two lines.

We find that

y=x+2\\\\\Rightarrow y=1\times x+2,

Thus, the slope is

m_1=1.

Additionally,

y=x\\\\\Rightarrow y=1\times x+0,

This results in the slope being

m_2=1.

Hence,

m_1=m_2, which indicates that the slopes of both lines are equivalent.

Thus, the lines are parallel due to both having the same slope.

AnnZ [12.3K]1 month ago
6 0
The lines y=x+2 and y=x are parallel since they share the same slope.
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