Question

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).

Answer 1

we have

`4x-y=1`

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
`(0, -1)`,
`(1, 3)`, and
`(-1, -5)`

Using a graphing tool

The three points are on the straight line

see the attached figure N
`1`

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

Using a graphing tool

The three points are not in the straight line

see the attached figure N
`2`

therefore

the answer is

It is a straight line joining the points
`(0, -1)`,
`(1, 3)`, and
`(-1, -5)`