The slope of a line that is perpendicular to a line whose slope is - 2/7 is

-21

-712

07/2

7/2

Step-by-step explanation:

The slope of perpendicular lines are opposite reciprocals

You have the slope - 2/7, so the opposite reciprocal of this would be 7/2

Remember, opposite means you flip the sign, and reciprocal means you flip the fraction.

The slope of y = - 3x - 4 is - 3. The slope of the perpendicular line is the negative reciprocal. This means you change the sign of the slope to its opposite: in this case to 3.