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identify an equation in point slope form for the line parallel to y=-2/3x+8 that passes throygh (4,-5)

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Answer:

The equation in point-slope form for the line parallel to y = (-2/3)x + 8 that passes through the point (4, -5) is:

y - (-5) = (-2/3)(x - 4)

Simplifying, we get:

y + 5 = (-2/3)x + 8/3

y = (-2/3)x - 7/3

Therefore, the equation in point-slope form for the line parallel to y = (-2/3)x + 8 that passes through (4, -5) is y = (-2/3)x - 7/3.

Explanation: