The slopes of the lines passing through the specified points are as follows: Line A has a slope of -5/4, Line B has a slope of 1, Line C has a slope of 5, and Line D has a slope of -0.5.
The slope of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the formula:
Slope = (y2 - y1) / (x2 - x1)
Let's calculate the slopes for each set of points:
A - (-2, 2) and (2, -3):
Slope_A = (-3 - 2) / (2 - (-2)) = -5 / 4
B - (2, 2) and (7, 7):
Slope_B = (7 - 2) / (7 - 2) = 1
C - (-2, -4) and (-1.5, -1.5):
Slope_C = (-1.5 - (-4)) / (-1.5 - (-2)) = 2.5 / 0.5 = 5
D - (-4.5, 0) and (-4.5, 4.5):
Slope_D = (4.5 - 0) / (-4.5 - (-4.5)) = 4.5 / -9 = -0.5
So, the slopes for the lines passing through the given points are:
Slope_A = -5/4
Slope_B = 1
Slope_C = 5
Slope_D = -0.5
Complete question:
Find the slope of the line that passes through the points A - (-2, 2) and (2, -3), B - (2, 2) and (7, 7), C - (-2, -4) and (-1.5, -1.5), D - (-4.5, 0) and (-4.5, 4.5).