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 $(-1, -5)$

Answer 2

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


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