7x+2y=1 What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line?

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.