Find the equation of
the line passing through
Point
A(O,1 )and B(2,3)​

1 thought on “Find the equation of<br />the line passing through<br />Point<br />A(O,1 )and B(2,3)​”

1. Answer:

   y = x + 1

   FIRSTLY

   Find the gradient of the line by using the formulae

   [tex]y2 – y1 \div x2 – x1[/tex]

   Hence and with this

   Your;

   y2 = 3

   y1 = 1

   x2= 2

   x1 = 0

   NOW;

   place this aforementioned points gotten from the question to get your gradient (m)

   FURTHERMORE

   Your m as gradient will be 1

   Hence

   Use this formula to find the equation of the line

   [tex]y – y1 = m(x – x1)[/tex]

   so; take any of the points together with your m as gradient and place it in the formula getting;

   example using A(0,1)

   y1 =1 and x1 = 0

   CALCULATION

   y-1 = 1(x-0)

   y-1 = x-0

   therefore making your y constant your equation

   is

   [tex]y = x + 1[/tex]

   NOTE: the point B(2,3) can also be used to arrive at the same answer

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