Problem

Find the equation for the line that passes through $(2,-4)$ that has slope -5 . Give your answer in pointslope form. You do not need to simplify.

Answer

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Answer

Simplify the equation to get the final answer: \(\boxed{y + 4 = -5(x - 2)}\).

Steps

Step 1 ：Given a point (2, -4) and a slope -5, we can use the point-slope form of a line equation which is given by \(y - y_1 = m(x - x_1)\).

Step 2 ：Substitute the given values into the formula, we get \(y - -4 = -5(x - 2)\).

Step 3 ：Simplify the equation to get the final answer: \(\boxed{y + 4 = -5(x - 2)}\).

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