What is the slope of the line that passes through the points left bracket, 4, comma, 8, right bracket(4,8) and left bracket, 8, comma, 6, right bracket(8,6)? Write your answer in simplest form.
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) can be found using the formula: slope = (y₂ - y₁) / (x₂ - x₁)
In this case, the two points are (4,8) and (8,6). Using the formula, we have:
slope = (6 - 8) / (8 - 4) = -2 / 4 = -1/2
Therefore, the slope of the line is -1/2.
What is the slope of the line that passes through the points left bracket, 2, comma, 8, right bracket(2,8) and left bracket, 12, comma, 20, right bracket(12,20)? Write your answer in simplest form.
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) can be found using the formula: slope = (y₂ - y₁) / (x₂ - x₁)
In this case, the two points are (2,8) and (12,20). Using the formula, we have:
slope = (20 - 8) / (12 - 2) = 12 / 10 = 6 / 5
Therefore, the slope of the line is 6/5.
What is the slope of the line that passes through the points left bracket, minus, 8, comma, 6, right bracket(−8,6) and left bracket, minus, 8, comma, 2, right bracket(−8,2)? Write your answer in simplest form.
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) can be found using the formula: slope = (y₂ - y₁) / (x₂ - x₁)
In this case, the two points are (-8, 6) and (-8, 2). Using the formula, we have:
slope = (2 - 6) / (-8 - (-8)) = -4 / 0
However, division by zero is undefined. In this case, the line is vertical and has an undefined slope.
What is the slope of the line that passes through the points left bracket, 4, comma, 7, right bracket(4,7) and left bracket, 7, comma, 16, right bracket(7,16)? Write your answer in simplest form.
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) can be found using the formula: slope = (y₂ - y₁) / (x₂ - x₁)
In this case, the two points are (4, 7) and (7, 16). Using the formula, we have:
slope = (16 - 7) / (7 - 4) = 9 / 3 = 3
Therefore, the slope of the line is 3.