Question

Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution. (1, 5) and (-2, 3)

Answer 1

hope this will help u.. :-)

Answer 2

Answer:

Required equation of a line passing through the given points is 2x-3y+13=0

Step-by-step explanation:

$Let \: A(x_{1},y_{1})=(1,5),\\B(x_{2},y_{2})=(-2,3),\:two\: points$

$Equation \:of \:a \:line \\passing \\through \:the \:points \\(x_{1},y_{1})\:and\:(x_{2},y_{2})\:is :\\y-y_{1}=\left(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\right) (x-x_{1})$

$y-5=\left(\frac{3-5}{-2-1}\right)(x-1)$

$\implies y-5 = \left(\frac{-2}{-3}\right)(x-1)$

$\implies 3(y-5) = 2(x-1)$

$\implies 3y-15=2x-2$

$\implies -15+2 = 2x-3y$

$\implies 2x-3y = -13$

$\implies 2x-3y+13=0$

Therefore,

Required equation of a line passing through the given points is 2x-3y+13=0

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