1. (7,4), (1,1).
m = (1-4)/(1-7) = -3/-6=3/6=1/2. Rises.
2. (-3,4), (2,-1).
m = (-1-4)/(2-(-3)) = -5/5 = -1. Falls.
3. (-5,3), (-5,2).
m = (2-3)/(-5-(-5)) = -1/0 = Undefined.
Vertical line.
1. (7, 4) and (1, 1)
2. (-3, 4) and (2, -1)
3. (-5, 3) and (-5, 2)
m = (1-4)/(1-7) = -3/-6=3/6=1/2. Rises.
2. (-3,4), (2,-1).
m = (-1-4)/(2-(-3)) = -5/5 = -1. Falls.
3. (-5,3), (-5,2).
m = (2-3)/(-5-(-5)) = -1/0 = Undefined.
Vertical line.
slope = (y₂ - y₁) / (x₂ - x₁)
Let's calculate the slope for each given pair of points:
1. (7, 4) and (1, 1):
Slope = (1 - 4) / (1 - 7) = (-3) / (-6) = 1/2
The line rises from left to right.
2. (-3, 4) and (2, -1):
Slope = (-1 - 4) / (2 - (-3)) = (-5) / (2 + 3) = (-5) / 5 = -1
The line falls from left to right.
3. (-5, 3) and (-5, 2):
The slope is undefined because the change in x is 0. Divide by zero is undefined.
The line is vertical.
Remember, a horizontal line has a slope of 0, a vertical line has an undefined slope, a rising line has a positive slope, and a falling line has a negative slope.