The slope of a line that is perpendicular to a line whose slope is -2/7 is
The negative reciprocal, or m= 7/2
To find the slope of a line that is perpendicular to a given line, you must first find the negative reciprocal of the slope of the given line.
Given that the slope of the given line is -2/7, the negative reciprocal is found by taking the reciprocal of the given slope and changing its sign.
The reciprocal of -2/7 is -7/2, and if we change its sign, we get 7/2.
Therefore, the slope of a line perpendicular to a line with a slope of -2/7 is 7/2.