What is the slope of the line that passes through the pair of points (three- halves, –2) and (–3, seven-thirds)?
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 points are (three-halves, -2) and (-3, seven-thirds).
Let's convert the words "three-halves" and "seven-thirds" to their numeric values:
- three-halves = 3/2
- seven-thirds = 7/3
Therefore, the points become (3/2, -2) and (-3, 7/3).
Now, we can plug these values into the slope formula:
slope = (7/3 - (-2)) / (-3 - 3/2)
= (7/3 + 6/3) / (-6/2 - 3/2)
= (13/3) / (-9/2)
= (13/3) * (-2/9)
= -26/27
The slope of the line that passes through the pair of points (three- halves, –2) and (–3, seven-thirds) is -26/27.