What is the equation of the line passing through #(10,3), (43,68)#?

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Answer 1 · 2018-07-09T22:36:38

#65x-33y-551=0#

The equation of the straight line passing through the given points #(x_1, y_1)\equiv(10, 3)# & #(x_2, y_2)\equiv(43, 68)# is given as follows

#y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)#

#y-3=\frac{68-3}{43-10}(x-10)#

#y-3=\frac{65}{33}(x-10)#

#33(y-3)=65(x-10)#

#33y-99=65x-650#

#65x-33y-551=0#