Question

Which of the following could be the equation of a line perpendicular to the line 2x−5y=7?

Answer 1

The equation of a line perpendicular to the line 2x − 5y = 7 is y = (-5/2)x + b

What is an equation?

An equation is an expression that shows the relationship between two or more variables or numbers.

Two lines are said to be perpendicular if the product of their slopes is equal to -1.

The slope of the line:

2x - 5y = 7

5y = 2x - 7

y = (2/5)x - 7

The slope of the line 2x - 5y = 7 is 2/5. The slope of the line perpendicular is -5/2

Hence:

The equation of a line perpendicular to the line 2x − 5y = 7 is y = (-5/2)x + b

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