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  • The graph of the linear equation x + 2y = 7 passes through the point (0, 7).

Write whether the following statement is True or False. Justify your answer.

The graph of the linear equation x + 2y = 7 passes through the point (0, 7).

Answers (1)

Answer:

False

Solution:

First of all, let us plot the graph of the linear equation x + 2y = 7

For x = 0,

0 + 2y = 7

y=\frac{7}{2}

For y = 0,

x + 2 (0) = 7

x = 7

For x = 1,

1 + 2y = 7

2y = 6

y = 3

So we have,

x 0 7 1
y \frac{7}{2} 0 3

The above graph shows that the linear equation does not pass through the point (0, 7)

Hence the given statement is false.

Posted by

infoexpert21

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