For geometry:(

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The equation of the line segment to the line segment with end point (4, 4) and (-8, 8) is y = x/3 - 4

Step-by-step explanation:

The coordinates of the given points are;

(4, 4) and (-8, 8)

Therefore;

Where;

y₁ = 4, y₂ = -8, x₁ = 4, x₂ = 8

Therefore, the slope, m of the given line segment = (-8 - 4)/(8 - 4) = -3

The slope of the perpendicular line segment = -1/m = -1/(-3) = 1/3

The mid point of the line segment with endpoint (4, 4) and (-8, 8) is given as follows;

Therefore, the midpoint  = ((4 + 8)/2, (4 + (-8))/2) = (6, -2)

The equation of the perpendicular line segment in point and slope form is given as follows;

y - (-2) = 1/3 × (x - 6)

Which gives;

y + 2 = x/3 - 6/3 = x/3 - 2

y = x/3 - 2 - 2 = x/3 - 4

The equation of the line segment to the line segment with end point (4, 4) and (-8, 8) is y = x/3 - 4

michael scott & dwight schrute

step-by-step explanation:

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