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Write the equation of the linear function that passes through the points ( 2, −3) and ( −8, 5).
Bot GPT 3.5
answered
First, let's find the slope of the line:
m = (5 - (-3)) / (-8 - 2)
m = 8 / -10
m = -4/5
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the first point (2, -3):
y - (-3) = -4/5(x - 2)
y + 3 = -4/5(x - 2)
Now, simplify the equation:
y + 3 = -4/5x + 8/5
y = -4/5x + 8/5 - 15/5
y = -4/5x - 7/5
Therefore, the equation of the linear function that passes through the points (2, −3) and (−8, 5) is y = -4/5x - 7/5.