Question

Do the equations x – y = 0 and x + y = 3 represent parallel lines?

Answer 1

SOLUTION

TO CHECK

Whether the equations x - y = 0 and x + y = 3 represent parallel lines

CONCEPT TO BE IMPLEMENTED

• Slope intercept form :

The slope intercept form of a line is

y = mx + c

Where m = slope of the line

• Condition for parallel lines :

Two lines are said to be parallel if they have the same slope

EVALUATION

Here the given lines are

x - y = 0 and x + y = 3

For the first line x - y = 0

Which can be rewritten as y = x

Slope of the line = m = 1

For the second line x + y = 3

Which can be rewritten as

y = - x + 3

Slope of the line = M = - 1

Since m ≠ M

So the given two lines are not parallel

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