Question

Consider the line 7x+3y=9

What is the slope of a line perpendicular to this line

What is the slope of the line parallel to this line

Answer 1

The slope of a line perpendicular to 7x+3y=9 is 3/7, while the slope of a line parallel to it is -7/3.

Step-by-step explanation:

The slope of a line perpendicular to the line 7x+3y=9 is the negative reciprocal of the slope of the given line. The given line has a slope of -7/3, so the perpendicular line will have a slope of 3/7.

The slope of a line parallel to the given line will be the same as the slope of the given line. Therefore, the slope of the line parallel to 7x+3y=9 is also -7/3.

Answer 2

Perpendicular lines have a slope that is the opposite reciprocal of the original and parallel lines have the same slope. So the parallel slope is -7x/3 and the perpendicular slope is 3/7x