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

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

 

 Let m represent the slope of a line and (x1, y1) 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 – x₁) = y – y₁ Multiply by x 2 x1

y  – y₁ = m(x – x₁). equation of a line.