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What is the equation of the line passes throughy the point (-1,1) and parallel to y =1?

Sagot :

The equation is y = 1.

[tex]y - y_{1} = \frac{y _{2}-y_{1} }{ x_{2}-x_{1} } (x- x_{1} )[/tex]

The points are (-1,1) and (0,1) 
⇒ y-intercept coordinates

y-1 = 1 - 1 (x - -1)
         0 - - 1

y - 1 = 0 (x + 1)
          1

y - 1 = 0

y = 1

Please click the image below.  

If the given data are correct, then the graph overlaps and not parallel, because they have the same slope and y - intercept.  The equation is both y = 1.

The system is consistent but dependent.  The lines are coinciding. The solutions are infinite.


View image Аноним