Find the coordinates of the midpoint, M, for each of the following intervals, AB:
A\left(5, 6\right) and B\left(5, 10\right)
A\left(5, - 6 \right) and B\left(5, 2\right)
A\left(5, 9\right) and B\left(9, 9\right)
A\left(6, 5\right) and B\left(14, 7\right)
A\left( - 9 , - 4 \right) and B\left(1, 8\right)
A\left( - 10 , - 8 \right) and B\left(2, 2\right)
Find the coordinates of the midpoint of the following intervals, AB:
A\left(4, 5\right) and B\left(4, 9\right)
A\left( - 9 , -1\right) and B\left(3, 9\right)
A\left( - 8 , 5\right) and B\left(2, - 7 \right)
For each pair of points, A and B, given:
Find the coordinates of their midpoint, M.
Plot the segment AB and the point M on a number plane.
A \left(3, 5\right) and B \left(7, 7\right)
A \left( - 4 , - 3 \right) and B\left(2, 7\right)
A \left( - 6 , 2\right) and B\left(4, - 6 \right)
A \left( - 11 , - 9 \right) and B \left(3, - 3 \right)
A\left(4, 3\right) and B\left(6, 7\right)
A\left( - 10 , - 6 \right) and B\left(4, 10\right)
A \left( - 11 , - 3 \right) and B \left(5, - 7 \right)
A \left(1, - 9 \right) and B\left(9, 1\right)
Given that M is the midpoint of points A and B, find the coordinates of M in the following pairs of points:
A \left(6, 2\right) and B \left(10, 8\right)
A \left( - 8 , 12\right) and B \left( - 4 , 6\right)
A \left(1, - 4 \right) and B \left(9, 0\right)
A \left( - 10 , - 5 \right) and B \left( - 8 , 1\right)
A \left( - 12 , 10\right) and B \left(2, - 2 \right)
A \left( - 4 , - 12 \right) and B \left(8, 6\right)
A \left( - 10 , - 15 \right) and B \left(2, -1\right)
Given that M is the midpoint of points A and B, find the coordinates of A in the following given points:
B \left(8, 5\right) and M \left(6, 5\right)
B \left(10, - 5 \right) and M \left(8, - 5 \right)
B \left(9, 10\right) and M \left(7, 7\right)
B \left(10, 3\right) and M \left(8, -1\right)
B \left(0, - 3 \right) and M \left( - 3 , 1\right)
B \left(14, 9\right) and M \left(9, 3\right)
The graph shows the annual net profit (in millions) of a company over the last few years. It shows that its profit has been growing approximately linearly from \$19 million in 2008 to \$39 million in 2014.
By finding the midpoint of the line segment, determine the company's net profit in 2011.
The graph shows a straight line that approximates the global life expectancy of a child over a period of 100 years. The graph shows the life expectancy to be 55 years in 1910, and 71 years in 2010.
Use the midpoint formula to estimate the life expectancy of a child in 1960.
Lines of latitude and longitude measure position on the Earth’s surface and work like coordinates. The first coordinate represents how far above or below the equator you are, and the second coordinate measures how far from Greenwich Mean Time you are.
A plane starts its flight at \left( 20 \degree \text{N}, 62 \degree \text{E} \right). It is bound for its destination at \left(49 \degree \text{N}, 144 \degree \text{E} \right). Find its position halfway through the flight.
The table shows the number of smartphone users in a particular city:
Using the midpoint formula, estimate the number of smartphone users in 2009.
Using the midpoint formula, estimate the number of smartphone users in 2013.
| Year | Number of smartphone users |
|---|---|
| \text{2007} | 175\,904 |
| \text{2011} | 238\,502 |
| \text{2015} | 298\,080 |