Final answer:
The equation that corresponds to the graphed line written in standard form is option (b) x - 1/2y = 0, which can be rewritten as 2x - y = 0 in standard form.
The correct answer is B.
Step-by-step explanation:
To determine which equation corresponds to the graphed line in standard form, we should look at the options provided and compare them with the standard form of a linear equation, which is generally written as Ax + By = C, where A, B, and C are constants.
The given options are:
- y = x
- x - 1/2y = 0
- x - y = 0
- y = 1/2x
Option (b) x - 1/2y = 0 can be rewritten in standard form as 2x - y = 0, which is a variation of the standard form of a linear equation. Neither of the other options is presented in standard form, but they represent lines with different slopes and y-intercepts.