SSC (Marathi Semi-English) 10thMaharashtra State Board
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# Write the Equation of the Line Passing Through A(–3, 4) and B(4, 5) in the Form of Ax + by + C = 0 - SSC (Marathi Semi-English) 10th - Geometry

#### Question

Write the equation of the line passing through A(–3, 4) and B(4, 5) in the form of ax + by + c = 0

#### Solution

A(-3,4) B(4,5)

Let A(-3,4) ≡ (x_1,y_1); B(4,5) ≡ (x_2, y_2)

Now, (x-x_1)/(x_1 - x_2) = (y - y_1)/(y_1 - y_2)

:. (x-(-3))/(-3-4) = (y - 4)/(4 - 5)     ∴ (x+3)/(-7) = (y -4)/(-1)`

∴ -1(x + 3) = -7(y - 4)

∴ -x - 3 = -7y + 28

∴ -x + 7y - 3 - 28 = 0           ∴ x - 7y + 31 = 0

The equation of the line AB is x - 7y + 31 = 0

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Solution Write the Equation of the Line Passing Through A(–3, 4) and B(4, 5) in the Form of Ax + by + C = 0 Concept: Standard Forms of Equation of a Line.
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