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

Which of the following could be the equation of a line perpendicular to the line 2x-example-1
User SonicBison
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1 Answer

3 votes

Given the line equation


2x-5y=7

Let's consider a generic line with coefficients


ax+by=c

The perpendicular line will be


bx-ay=d_{}

Fact, we just need to change the coefficients and the ONLY one signal. Then, again, given


2x-5y=7

We need to change the x and y coefficient:


5x-2y=c

Now we change the signal of the coefficient with "y"


5x+2y=c

The value of c here doesn't matter, just the coefficients, then, the final answer is


5x+2y=3

That's the line equation perpendicular to the line 2x – 5y = 7

User Gareththegeek
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