Find the slope (rate of change) of a line that passes through (–2, –3) and (1, 1).
The slope of a line that passes through two points (x1, y1) and (x2, y2) can be calculated with the following formula:
slope = (y2 - y1) / (x2 - x1)
For the two points given, which are (-2, -3) and (1, 1), we have:
x1 = -2, y1 = -3
x2 = 1, y2 = 1
Now we can substitute these values into the formula:
slope = (1 - (-3)) / (1 - (-2))
slope = (1 + 3) / (1 + 2)
slope = 4 / 3
Therefore, the slope of the line that passes through the points (-2, -3) and (1, 1) is 4/3.