Question

Write an equation of the line passing through each of the following pairs of points. (4, 0), (−2, 8)

Answer 1

$\underline{\textsf{Given:}}$

$\textsf{Points are}$

$\mathsf{(4,0), (-2,8)}$

$\underline{\textsf{To find:}}$

$\textsf{Equation of the line passing through the given points}$

$\underline{\textsf{Solution:}}$

$\underline{\textsf{Formula used:}}$

$\textsf{Equation of the line passing through}\,\mathsf{(x_1,y_1),\;(x_2,y_2)}$

$\textsf{is}\;\mathsf{\dfrac{y-y_1}{y_2-y_1}=\dfrac{x-x_1}{x_2-x_1}}$

$\textsf{Equation of the line passing through (4,0) and (-2,8) is}$

$\mathsf{\dfrac{y-y_1}{y_2-y_1}=\dfrac{x-x_1}{x_2-x_1}}$

$\mathsf{\dfrac{y-0}{8-0}=\dfrac{x-4}{-2-4}}$

$\mathsf{\dfrac{y}{8}=\dfrac{x-4}{-6}}$

$\mathsf{-6y=8x-32}$

$\mathsf{8x+6y-32=0}$

$\mathsf{4x+3y-16=0}$

$\implies\boxed{\mathsf{4x+3y-16=0}}$

Find more:

The equation of the line passing through the points (at1^2 , 2at1), (at2^2 , 2at2) is​

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