Question

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

Answer 1

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