which is the equation of the graphed line written in standard form?\no y = x\no x - 1/2y = 0\no x - y = 0\no…

Explanation:

Step1: Recall slope - intercept form and standard form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. The standard form is $Ax+By = C$, where $A$, $B$, and $C$ are integers and $A\geq0$.

Step2: Find the slope and y - intercept from the graph

The line passes through the origin $(0,0)$ and another point, say $(1,1)$. The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{1 - 0}{1 - 0}=1$, and the y - intercept $b = 0$. So the equation in slope - intercept form is $y=x$.

Step3: Convert to standard form

Starting from $y=x$, subtract $y$ from both sides to get $x - y=0$.

Answer:

C. $x - y = 0$