The equation in point slope form is y - 6 = -8/5(x + 2)
The points are given as:
(-2, 6) and (3, -2)
Start by calculating the slope (m) using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (-2 - 6)/(3 + 2)
Evaluate
m = -8/5
The linear equation is then calculated using:
y - y1 = m(x - x1)
This gives
y - 6 = -8/5(x + 2)
Hence, the equation in point slope form is y - 6 = -8/5(x + 2)
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