(1.) The Slope of the line passing points (-1, -2) and (2, 1) is A. Positive
2. The Slope of the line passing points (3, 2) and (1, -2) is B. 2
3. The Slope of the line passing points (2, 1) and (1, 4) is A. -3
4. The slope of the line that goes through (6, 5) and (3, 1) is C. 4/3
5. The slope of the line that goes through (-3, -5) and (-3, -6) is D Undefined
How to find the slope of the line
The slope, m is calculated using the points on the graph (1, -2) and (2, 1)
m = (y₀ - y₁) / (x₀ - x₁)
m = (1 - (-2)) / (2 - 1)
m = (1 + 2) / (1)
m = 3
Using points (3, 2) and (1, -2)
m = (y₀ - y₁) / (x₀ - x₁)
m = (2 - (-2)) / (3 - 1)
m = (2 + 2) / (2)
m = 2
Using points (2, 1) and (1, 4)
m = (y₀ - y₁) / (x₀ - x₁)
m = (1 - 4) / (2 - 1)
m = (-3) / (1)
m = -3
Using points (6, 5) and (3, 1)
m = (5 - 1) / (6 - 3)
m = 4/3
Using points (-3, -5) and (-3, -6)
m = (-5 - (-6)) / (-3 - (-3))
m = (-5 + 6) / (-3 + 3)
m = 1/0 = undefined