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weqwewe [10]
3 years ago
15

Line L passes through the points (0, --3) and (6,9). (a) Find the equation of line L.

Mathematics
1 answer:
valentina_108 [34]3 years ago
5 0

Step-by-step explanation:

Given points are :

(0,\:-3)=(x_1,\:y_1) \:\&\: (6,\:9)=(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  -9 }  = \frac{x -0 }{0 -6 }  \\  \\  \therefore \frac{y  + 3}{ -12}  = \frac{x  }{ -6 }  \\  \\  \therefore \frac{y  + 3}{ 2}  = \frac{x  }{1}  \\  \\  \therefore  \: y + 3 = 2x \\  \\  \huge \red{ \boxed{\therefore  \: 2x - y - 3 = 0}} \\ is \: the \: required \: equation \: of \: line.

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