Problem

Find the equation of the line that passes through the point (2,3) and has a slope of -1.

Answer

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Answer

Simplify the equation: \(y-3=-(x-2)\) to get \(y=-x+5\)

Steps

Step 1 ：The point-slope form of a line is given by \(y-y_1=m(x-x_1)\), where \((x_1,y_1)\) is a point on the line and \(m\) is the slope of the line.

Step 2 ：Substitute the given values into the formula: \(y-3=-1(x-2)\)

Step 3 ：Simplify the equation: \(y-3=-(x-2)\) to get \(y=-x+5\)

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