Given the line equation
Let's consider a generic line with coefficients
The perpendicular line will be
Fact, we just need to change the coefficients and the ONLY one signal. Then, again, given
We need to change the x and y coefficient:
Now we change the signal of the coefficient with "y"
The value of c here doesn't matter, just the coefficients, then, the final answer is
That's the line equation perpendicular to the line 2x – 5y = 7