The coordinates of point e are (−9, −5) and the coordinates of point f are (−2, −1) . what is the slope of the line that is perpendicular to ef¯¯¯¯¯?

First we find the slope using the slope formula : (y2 - y1) / (x2 - x1)
(-9,-5)x1 = -9 and y1 = -5
(-2,-1)...x2 = -2 and y2 = -1
now we sub into the formulapay close attention to ur signs
slope = (-1 - (-5) / (-2 - (-9) = (-1 + 5) / (-2 + 9) = 4/7

A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal slope, we " flip  the slope and change the sign.
So the slope is 4/7we flip it, making it 7/4we then change the sign, making it -7/4,

So ur perpendicular slope will be : -7/4  <==