It is a type of slope in which the value or the result of the slope will be negative. The negative slope means a person or an object moving from left to right falls or goes upward.
Example
What is the slope of the line of (-14, -8) and (-11, -22)?
Solution
Step 1: Take the given points of the line.
x1 = -14, x2 = -11, y1 = -8, and y2 = -22
Step 2: Write the formula of slope of the line.
Slope of the line = m = Δy/Δx = (y2-y1)/(x2-x1)
Step 3: Put the values of x1, x2, y1, and y2 in the above formula to calculate the slope.
Slope of the line = m = (-22 – (-8))/(-11 – (-14))
Slope of the line = m = (-22 + 4)/(-11 + 14)
Slope of the line = m = (-18)/(3)
Slope of the line = m = -4.67
The slope of the line of the given two points is -4.67.
The slope of the table values can be calculated by taking the first column as x points and the second column as a y point. For example, row 1 first box is the x point while row 1 second box is the y point of the line.
It is a type of slope in which the value or the result of the slope will be zero. The zero slope means a person or an object moving from left to right without falling or climbing. In other words, the slope of a horizontal line is known as the zero slope.
In the zero-slope, the y-coordinates remain unchanged.
Example
What is the slope of the line of (12, 7) and (-11, 7)?
Solution
Step 1: Take the given points of the line.
x1 = 12, x2 = -11, y1 = 7, and y2 = 7
Step 2: Write the formula of slope of the line.
Slope of the line = m = Δy/Δx = (y2-y1)/(x2-x1)
Step 3: Put the values of x1, x2, y1, and y2 in the above formula to calculate the slope.
Slope of the line = m = (7 – 7)/(-11 – 12)
Slope of the line = m = 0/-23
Slope of the line = m = 0
The slope of the line of the given two points is 0.
It is a type of slope in which the value or the result of the slope will be undefined. The undefined slope means a person or an object doesn’t move from left to right and faces a vertical line to go up or down.
In other words, the slope of the vertical line is known as an undefined slope. In the undefined slope, the x-coordinates remain the same.
Example
What is the slope of the line of (12, -8) and (12, 7)?
Solution
Step 1: Take the given points of the line.
x1 = 12, x2 = 11, y1 = -8, and y2 = 7
Step 2: Write the formula of slope of the line.
Slope of the line = m = Δy/Δx = (y2-y1)/(x2-x1)
Step 3: Put the values of x1, x2, y1, and y2 in the above formula to calculate the slope.
Slope of the line = m = (7 – (-8))/(12 – 12)
Slope of the line = m = (7 + 8)/(12 – 12)
Slope of the line = m = 15/0
Slope of the line = m = undefined
The slope of the line of the given two points is undefined.