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NeTakaya
4 years ago
15

Write the equation of the line that passes through the points (-1, 3) and (-5, -3).

Mathematics
1 answer:
Dmitry [639]4 years ago
5 0

Step-by-step explanation:

Line is passing through the points

(-1,\:\: 3)=(x_1, \:\:y_1) \\\:\&\:\\(-5, \:\:-3)=(x_2, \:\:y_2)

Equation of line in two point form is given as:

\frac{y - y_1}{y_1 -y_2 }  =  \frac{x - x_1}{x_1 -x_2 } \\  \\  \therefore \:  \frac{y - 3}{3 -( - 3)}  =  \frac{x - ( - 1)}{ - 1 -( - 5)}  \\  \\ \therefore \:  \frac{y - 3}{3  +  3)}  =  \frac{x  + 1}{ - 1  + 5} \\  \\ \therefore \:  \frac{y - 3}{6)}  =  \frac{x  + 1}{ 4}  \\  \\ \therefore \: 4(y - 3) = 6(x + 1) \\  \\ \therefore \: 4y - 12 = 6x + 6 \\  \\ \therefore \: 6x - 4y + 6 + 12 = 0 \\  \\ \therefore \: 6x - 4y + 18 = 0 \\  \\ \therefore \: 2(3x - 2y + 9) = 0 \\  \\  \purple { \boxed{\therefore 3x - 2y + 9= 0}} \\ is \: the \: required \: equation \: of \: line \\

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