Question

# Write the equation of the line through the point (1,-1) and (3,5)

Solution

## Given : $$(x_{1}, y_{1} ) = (1,-1) ; (x_{2} , y_{2} ) = (3,5)$$$$\therefore$$ Required equation is of the form $$y -y_{1} = \dfrac{y_{2} - y_{1}}{x_{2}-x_{1}} (x - x_{1})$$ (two -point form )$$i.e, y + 1 = \dfrac{5-(-1)}{3-} (x-1)$$$$i.e, y + 1 = \dfrac{6}{2} (x-1)$$$$i.e, y +1 = 3x -3 i.e, 3x - y -4 = 0$$Mathematics

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