Answer:
The answer is C.
Step-by-step explanation:
In the graph above, it is a positive gradient so option A and B cannot be applied.
Next you have to look at the y-intercept where the line touches the y-axis so -1 is the y-intercept.
The slope-form equation is y = mx + b where m represents gradient amd b is y-intercept :
Option A,
[tex] - 2x - y - 1 = 0[/tex]
[tex]y = - 2x - 1 \: (incorrect \: m)[/tex]
Option B,
[tex]2x + y - 1 = 0[/tex]
[tex]y = - 2x + 1 \: (incorrect \: m \: and \: b)[/tex]
Option C,
[tex]2x - y - 1 = 0[/tex]
[tex]y = 2x - 1 \: (correct \: m \: and \: b)[/tex]