Answer:
- parallel: 7/6
- perpendicular: -6/7
Explanation:
You want the slopes of the lines parallel and perpendicular to 7x -6y = -3.
Slope
The slope is the x-coefficient when the equation is in slope-intercept form:
y = mx +b
Solving for y gives ...
-6y = -7x -3
y = 7/6x +1/2 . . . . . divide by -6
The slope of the given line is 7/6.
Parallel
A parallel line will have the same slope: 7/6.
Perpendicular
A perpendicular line will have opposite reciprocal slope: -6/7.