Home > Geometry calculators > Coordinate Geometry > Find the equation of a line passing through two points A(3,5) and B(6,4)

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Problem: line (3,5),(6,4) [ Calculator, Method and examples ]

Solution:
Your problem `->` line (3,5),(6,4)


Here `A(3,5), B(6,4)` are the given points

`:. x_1=3, y_1=5, x_2=6, y_2=4`

The equation of a line AB is
`(y-y_1)/(y_2-y_1)=(x-x_1)/(x_2-x_1)`

`:. (y-5)/(4-5)=(x-3)/(6-3)`

`:. (y-5)/(-1)=(x-3)/(3)`

`:. 3(y-5)=-(x-3)`

`:. 3y -15=-x +3`

`:. x+3y-18=0`










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