Question

find the equation of line passing through the two points A(4,5) and B (2,3)​

Answer 1

Answer:

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Step-by-step explanation:

$\sf \:The \: equation \: of \: a \: line \: passing \\ \sf through \: two \: points$

$\sf \: ( x_1 y_1)( x_2 \: y_2) is \: given \: by \: \\ \sf \frac{y - y_ 1}{x - x_1 } = \frac{y_2 - y_1}{x_2 - x_1 }$

$\sf \: ∴ The \: equation \: of \: line \: passing \: \\ \sf \: through (2,3) and (4,5) is \: given \: by$

$\sf \: \frac{y - 3}{x - 2} = \frac{5 - 3}{4 - 2}$

$\sf \: \frac{y - 3}{x - 2} = \frac{2}{2 } \\ \sf \: y - 3 = x - 2 \\ \sf \: x + y + 1 = 0$

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