Question

Are the lines `7+2y=5` and `2x-7y=5` perpendicular?

Answer 1

No

Explanation:

For two lines to be perpendicular, their slopes must be opposite reciprocals. The slope of the first line is 0 (it is a horizontal line), and the slope of the second line is 2/7; slope in standard form = -A/B. For the two lines to be perpendicular, the second line would have to be vertical, or have an undefined slope.

IF the first line was supposed to be written as 7x+2y=5, then the two lines would be perpendicular because the slope of that line would be -7/2 and the other 2/7.