The slope of the line with a negative slope that is perpendicular to one of the lines shown is: -2.
How to find slope of perpendicular lines?
The missing image is shown below showing a red and a blue line. First, find each of the slopes and their respective slope of the line perpendicular to each.
Slope of the blue line = change in y / change in x = 2/4
Slope (m) = 1/2
Negative reciprocal of 1/2 is -2, thus, the line that is perpendicular to the blue line has a slope of -2.
Slope of the red line = -1/4
Slope (m) = -1/4
Negative reciprocal of -1/4 is 4, thus, the line that is perpendicular to the red line has a slope of 4.
The slope of the line that is perpendicular to one of the lines shown that is negative, is therefore: -2.