What is the slope of the line that passes through the points 1, 1,(−1,1) and, , 1, 4, (−1,4)? Write your answer in simplest form.
The slope of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the formula:
slope = (y2 - y1) / (x2 - x1)
Using the given points: (1, 1) and (-1, 4), we can substitute these values into the formula:
slope = (4 - 1) / (-1 - 1) = 3 / (-2) = -3/2
Therefore, the slope of the line passing through the given points is -3/2.