WILL MEDAL Which of the following statements best describes the graph of 4x − y = 1? It is a straight line joining the points (0, −1), (1, 3), and (−1, −5). It is a straight line joining the points (4, −3), (−1, 2), and (−4, 5). It is a curve joining the points (4, −1), (2, 3), and (4, 1). It is a curve joining the points (0, −1), (−1, −3), and (1, 5).

Respuesta :

we have

[tex]4x-y=1[/tex]

This is the equation of the line in standard form

so

The graph is a straight line

we are going to proceed to verify the first two cases only

case A) It is a straight line joining the points [tex](0, -1)[/tex], [tex](1, 3)[/tex], and [tex](-1, -5)[/tex]

Using a graphing tool

The three points are on the straight line

see the attached figure N [tex]1[/tex]  

case B) It is a straight line joining the points [tex](4,-3)[/tex], [tex](-1, 2)[/tex], and [tex](-4, 5)[/tex]

Using a graphing tool

The three points are not in the straight line

see the attached figure N [tex]2[/tex]    

therefore

the answer is

It is a straight line joining the points [tex](0, -1)[/tex], [tex](1, 3)[/tex], and [tex](-1, -5)[/tex]

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