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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 5y 7 class=

Sagot :

Given the line equation

[tex]2x-5y=7[/tex]

Let's consider a generic line with coefficients

[tex]ax+by=c[/tex]

The perpendicular line will be

[tex]bx-ay=d_{}[/tex]

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

[tex]2x-5y=7[/tex]

We need to change the x and y coefficient:

[tex]5x-2y=c[/tex]

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

[tex]5x+2y=c[/tex]

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

[tex]5x+2y=3[/tex]

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

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