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Maths-

General

Easy

Question

Are graphs of the equations parallel, perpendicular or neither?
$negative 2 x plus 5 y equals negative 4 semicolon space y equals negative 5 over 2 x plus 6$

hint Hint:

Parallel lines are graphed next to each other such that they never cross, while perpendicular lines cross to form 90-degree angle on a graph.

The correct answer is: Both are nor parallel neither perpendicular.

We have been given two equations in the question for which we have to tell are graphs of the equations parallel, perpendicular or neither.

Step 1 of 1:
We have given two equations
$negative 2 x plus 5 y equals negative 4$
$y equals fraction numerator negative 5 over denominator 2 end fraction x plus 6$
Slope of both lines are $2 over 5 comma fraction numerator negative 5 over denominator 2 end fraction$ respectively
Since slope are not equal then both are not parallel.
Product of both slope is $2 over 5 cross times fraction numerator negative 5 over denominator 2 end fraction equals negative 1$
So, both are not perpendicular also.
So,
Both are nor parallel neither perpendicular.

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