The slope of a line perpendicular to this line would be 2/7 and the slope of a line parallel to this line would be -7/2.
Step-by-step explanation:
In order to find these, we first need to solve the equation for y.
7x + 2y = 1
2y = -7x + 1
y = -7/2x + 1
Now we can see the original slope is -7/2 due to it being the coefficient of x. We know parallel lines have the same slope, so the parallel slope is simple -7/2.
We also know perpendicular slopes have opposite and reciprocal slopes. So we take the -7/2 and change the sign (giving us 7/2). Then we flip it to get 2/7.
