Math, asked by mrdrake6245, 1 month ago

Equation of line passing through the points (2, 1) and (3, 1) is

Answers

Answered by BeginnerinBrainly
0

Answer:

Equation of the line passing through (2,1)= x+y=3

Equation of the linr passing through (3,1)= x+y=4

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Answered by TrustedAnswerer19
115
  • Given, two points are (2,1) and (3,1)

  • We have to find a equation which passing through those points.

Solution :

\blue{ \boxed{\boxed{\begin{array}{cc}\rm  \: Equation \:  of  \: line \:  passing \:  through \:  \\  \rm \:  the  \: points \: (x_1,y_1) \:  \: and \: (x_2,y_2) \: is: \\  \\  \\  \boxed{ \rm \:  \frac{x - x_1}{x_1 - x_2} =  \frac{y - y_1}{y_1 - y_2} }  \\  \\ \end{array}}}}</p><p>

According to the question,

x_1 = 2 \\ x_2 = 3 \\ y_1 = 1 \\ y_2 = 1

So the equation of line is :

\orange{ \boxed{\boxed{\begin{array}{cc}\rm \:  \frac{x - 2}{2 - 3} =  \frac{y - 1}{1 - 1} \\  \\ \rm \implies \: \frac{x - 2}{ - 1 }   =  \frac{y - 1}{0}  \\  \\ \rm \implies \: - 1(y - 1) = (x - 2) \times 0 \\  \\ \rm \implies \: - y + 1 = 0 \\  \\ \rm \implies \:y = 1 \end{array}}}}</p><p>

Finally, Equation of line passing through the points is : y = 1

Which is parallel to X-axis

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