Indicate in standard form the equation of the line passing through the given points.

Question

Indicate in standard form the equation of the line passing through the given points.

A(4, 1), B(5, 2)

Answer 1

The points are A(4,1) and B(5,2), so the slope will be (Y2-y1)/(x2-x1) = (5-4)/(2-1) = 1 Then the equation will have the form y=x + b being b the intercept, replacing any one of the points, we have 1=4 + b then

b= -3. the equation will turn to y=x - 3. to check we can replace the points in B so 2 = 5-3 CHECK!!!!!!!!!!!

Answer 2

Y = mx +b    / Slope intercept form

 

 mX - Y = -b     / This is standard form

 

 

A ( 4,1 ) B ( 5 ,2 )

 

  m = ( 2 -1 ) / ( 5 -4 ) = 1

 

   X - Y = -b

 

  4 - 1 = -b

 

  b = -3

 

   X - y = 3       Test : ( 4-1 =3)  , ( 5 -2 = 3)