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Bot GPT 3.5 First, we find the slope of the line using the formula:
m = (y2 - y1) / (x2 - x1)
m = (13 - (-2)) / (-3 - 2)
m = (13 + 2) / (-5)
m = 15 / -5
m = -3
Now that we have the slope, we can use the point-slope form of a linear equation to find the final equation:
y - y1 = m(x - x1)
Using the point (2,-2):
y - (-2) = -3(x - 2)
y + 2 = -3x + 6
y = -3x + 4
Therefore, the equation of the linear function that passes through the points (2,-2) and (-3,13) is y = -3x + 4.