**Write an equation of a line given its slope and a point on the line**

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** **Let *m *represent the slope of a line and (*x*1, *y*1) represent a given point on the line. Let (*x*, *y*) represent any other point on the line. See Figure . Then by the slope formula,

m(x – x_{1}) = y – y_{1 }Multiply by *x *2 *x*1

y – y_{1} = m(x – x_{1}). equation of a line.